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Finding the Fourth Proportional to 338.16, 506.97 and 155.46

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Solution

The fourth proportional to 338.16, 506.97 and 155.46 is: 233.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.16 : 506.97 = 155.46 : x
  2. Step 2: Convert to fraction form
    338.16/506.97 = 155.46/x
  3. Step 3: Cross multiply
    338.16x = 506.97 × 155.46
  4. Step 4: Simplify right side
    338.16x = 78,813.56
  5. Step 5: Solve for x
    x = 78,813.56/338.16
  6. Step 6: Final answer
    x = 233.07

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