Originally Posted by Yeodan
100% chance to call 45 = EV of 45
25% chance to call 200 = EV of 50
Since you have a reliable tell that villain has the 4 I think you have more than 25% chance to get called, so shoving the river would maximize your EV.
Edit: Maybe betting like 100 would still get you near 100% to get called so that might even be a better option?