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Finding the Fourth Proportional to 337.65, 506.12 and 142.61

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Solution

The fourth proportional to 337.65, 506.12 and 142.61 is: 213.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.65 : 506.12 = 142.61 : x
  2. Step 2: Convert to fraction form
    337.65/506.12 = 142.61/x
  3. Step 3: Cross multiply
    337.65x = 506.12 × 142.61
  4. Step 4: Simplify right side
    337.65x = 72,177.77
  5. Step 5: Solve for x
    x = 72,177.77/337.65
  6. Step 6: Final answer
    x = 213.77

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