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Finding the Fourth Proportional to 344.88, 517.52 and 149.88

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Solution

The fourth proportional to 344.88, 517.52 and 149.88 is: 224.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.88 : 517.52 = 149.88 : x
  2. Step 2: Convert to fraction form
    344.88/517.52 = 149.88/x
  3. Step 3: Cross multiply
    344.88x = 517.52 × 149.88
  4. Step 4: Simplify right side
    344.88x = 77,565.90
  5. Step 5: Solve for x
    x = 77,565.90/344.88
  6. Step 6: Final answer
    x = 224.91

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