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Finding the Fourth Proportional to 232.39, 348.20 and 116.72

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Solution

The fourth proportional to 232.39, 348.20 and 116.72 is: 174.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.39 : 348.20 = 116.72 : x
  2. Step 2: Convert to fraction form
    232.39/348.20 = 116.72/x
  3. Step 3: Cross multiply
    232.39x = 348.20 × 116.72
  4. Step 4: Simplify right side
    232.39x = 40,641.90
  5. Step 5: Solve for x
    x = 40,641.90/232.39
  6. Step 6: Final answer
    x = 174.89

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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.