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.218 Bee, .219 Zipper, .220 Swift, .221 Fireball, .222 Remington, .223 Remington, .224 Weatherby, and .225 Winchester all shoot .224" bullets.
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Don't forget the .22-250 is also .224" bullets.
Some old .22 Hornets used .223" bullets but after WWII, not so much...
.222" bullets (40gr or less) were for the .22 RemJet, a necked down .357 case. Never very popular due to the cases backing up in S&W revolver. That gun also came with chamber inserts for shooting .22LR and the bore was kind of a compromise size so the rimfire would shoot acceptably well.
The .22 Savage High Power used .228" bullets. I don't think anyone living today knows why,
If they were fairly blunt soft points, I'd say they were for the JET, but having polymer tips, means something fairly recently made, and that points to some European or (former) Combloc round though I don't know the exact dia for the 5.45mm ones.
Edit to add:
Just checked the all knowing and infallible Wikipedia and they say 5.45x39mm bullet diameter is .220" so if they're right, that seems the most likely round for the .222" poly tipped bullets you have.