Finding the Fourth Proportional to 151.69, 209.33 and 82.69

Step by Step Solution

1. Step 1: Write the proportion equation
   151.69 : 209.33 = 82.69 : x
2. Step 2: Convert to fraction form
   151.69/209.33 = 82.69/x
3. Step 3: Cross multiply
   151.69x = 209.33 × 82.69
4. Step 4: Simplify right side
   151.69x = 17,309.50
5. Step 5: Solve for x
   x = 17,309.50/151.69
6. Step 6: Final answer
   x = 114.11