The schorching flames one worth 74 keys with 3 units in total (Last sold for $127.10): https://backpack.tf/stats/Unusual/Titanium%20Tyrolean/Tradable/Craftable/14

So lets go back to the normal unusual (no robot hat) https://backpack.tf/unusual/Vintage%20Tyrolean the difference between the schorching flames and the burning flames is 25 (full price) keys with the burning flames having 4 more units than the other one.

So lets do basic math 25/4 = 6.25 lower price for unit, the schorching flames robot worth 74 keys so 74+6.25 (the difference is only 1 unit) = 80.25

Of course, this item has only 5 units in total (schorching+burning) so its more rare (justifying the high value).

Difference between $138.27 (80, 81 keys) to $127.10 (Last schorching sold) = $11.17

One is being sold on the marketplace.tf for $225.00: https://marketplace.tf/items/30045;5;u13

I did not find anything on the classifieds about the burning flames hat. (I dont have premium backpack.tf)

Yes, I know the item is a 'robotized' version, so I'm taking the 'original' prices in consideration.

I hope you guys understand.