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Finding the Fourth Proportional to 297.97, 411.20 and 173.71

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Solution

The fourth proportional to 297.97, 411.20 and 173.71 is: 239.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.97 : 411.20 = 173.71 : x
  2. Step 2: Convert to fraction form
    297.97/411.20 = 173.71/x
  3. Step 3: Cross multiply
    297.97x = 411.20 × 173.71
  4. Step 4: Simplify right side
    297.97x = 71,429.55
  5. Step 5: Solve for x
    x = 71,429.55/297.97
  6. Step 6: Final answer
    x = 239.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.