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Plate ribs are the best but often hard to find. Chuck ribs are a close second, easier to find, and less expensive. Back ribs are tasty, but the one's you find in supermarkets usually contain very little meat. If you can find meaty back ribs, they're great.
You are wanting "Beef Plate Ribs" those are the best. I would say to not even waste time with Beef Back Ribs, what a scam with those boney meatless things.