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Finding the Fourth Proportional to 347.38, 520.86 and 142.04

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Solution

The fourth proportional to 347.38, 520.86 and 142.04 is: 212.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.38 : 520.86 = 142.04 : x
  2. Step 2: Convert to fraction form
    347.38/520.86 = 142.04/x
  3. Step 3: Cross multiply
    347.38x = 520.86 × 142.04
  4. Step 4: Simplify right side
    347.38x = 73,982.95
  5. Step 5: Solve for x
    x = 73,982.95/347.38
  6. Step 6: Final answer
    x = 212.97

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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.