The latitude difference between RI and Nauset is too small to account for the difference. Here is NOAA's info on it.
Q: It appears that the range of the tides gets larger the further the location from the equator. What causes this?
If you only consider a few locations, this may seem to be true; but it is not the case. Literally hundreds of locations in the extreme north and south latitudes have small tidal ranges, and a number of stations closer to the equator have large tidal ranges. For example, Korea is at roughly the same latitude as most of the U.S. coast. Numerous stations in Korea have a tidal range of more than 20 feet, most of the U.S. coast has a tidal range of 3-6 feet. A number of locations very near the equator which have a tidal range of 15-17 feet.
The tidal range of a particular location is dependent less on it position north/south of the equator than on other physcial factors in the area; topography, water depth, shoreline configuration, size of the ocean basin, and others. For example, let's consider the southern coast of Alaska and British Columbia. The configuration of this coastline is very similar to a funnel, with the narrow end at Cook Inlet. The tides travel as a "wave" across the oceans, and in many other respects act as a "wave"; this type of configuration tends to accentuate the "wave" at the narrow end of the funnel. This is part of the reason for the large tidal ranges, 30+ feet, in the area of Cook Inlet. If you look at the tidal ranges for stations on the Bering Sea, outside this funnel but at the same latitude, you will find a tidal range of 5-7 feet.
Another factor is the size of the ocean basin in which the tides are located. The Pacific Ocean is by far the largest of the world's oceans. This means that the moon's gravity has a large area of water to work on; therefore, its effect tends to be greater. Compare this to stations in the Baltic Sea. Many stations in the Baltic are as far north as any station in Alaska. However, due to the small size and shallow depth of the ocean basin, the tidal ranges in this area are relatively small.
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