Finding the Fourth Proportional to 164.99, 227.69 and 99.50

Step by Step Solution

1. Step 1: Write the proportion equation
   164.99 : 227.69 = 99.50 : x
2. Step 2: Convert to fraction form
   164.99/227.69 = 99.50/x
3. Step 3: Cross multiply
   164.99x = 227.69 × 99.50
4. Step 4: Simplify right side
   164.99x = 22,653.52
5. Step 5: Solve for x
   x = 22,653.52/164.99
6. Step 6: Final answer
   x = 137.31