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Finding the Fourth Proportional to 362.14, 542.86 and 142.61

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Solution

The fourth proportional to 362.14, 542.86 and 142.61 is: 213.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.14 : 542.86 = 142.61 : x
  2. Step 2: Convert to fraction form
    362.14/542.86 = 142.61/x
  3. Step 3: Cross multiply
    362.14x = 542.86 × 142.61
  4. Step 4: Simplify right side
    362.14x = 77,414.19
  5. Step 5: Solve for x
    x = 77,414.19/362.14
  6. Step 6: Final answer
    x = 213.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.