Yes, i believe you can.
Requirements for 3 sides to become a triangle are:
a + b >c
a + c > b
b + c > a
So, you have 36 toothpaste with 4 cm in length for each of them. So about 144cm in length.
In order to make a similar triangle you just need to divide all sides with 4 and see if the total sides is less than 144
176 / 4 = 44
208 / 4 = 52
176/4 = 44
Total = 140 . . . . .you just need 35 toothpicks for this