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Finding the Fourth Proportional to 232.38, 347.52 and 177.55

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Solution

The fourth proportional to 232.38, 347.52 and 177.55 is: 265.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.38 : 347.52 = 177.55 : x
  2. Step 2: Convert to fraction form
    232.38/347.52 = 177.55/x
  3. Step 3: Cross multiply
    232.38x = 347.52 × 177.55
  4. Step 4: Simplify right side
    232.38x = 61,702.18
  5. Step 5: Solve for x
    x = 61,702.18/232.38
  6. Step 6: Final answer
    x = 265.52

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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.