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Does the belt have any writing on it that might give a part number? I did a quick look around the internet and found a couple of things. There are a number of sites that came up on a search, so there are more options - just giving some info below:
1. The site
here sells belts for multiple turntables, and they had two belts listed for the SL-220 with the following note:
Technics SL-220
Special Case. Experience has shown that there is more than one SL-220: some take FM 22.4 and some take FM 23.2. We will send both and let you see which works best on your turntable; please send back the unused belt for a $10 refund at your convenience.
2.
This ad on eBay for an SL-220 belts had a lot of information written about turntable belts. The seller seems to know his stuff. You might consider contacting that seller to ask if there's a way to verify if you have the correct belt.
Adam