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Finding the Fourth Proportional to 372.25, 557.99 and 166.91

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Solution

The fourth proportional to 372.25, 557.99 and 166.91 is: 250.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.25 : 557.99 = 166.91 : x
  2. Step 2: Convert to fraction form
    372.25/557.99 = 166.91/x
  3. Step 3: Cross multiply
    372.25x = 557.99 × 166.91
  4. Step 4: Simplify right side
    372.25x = 93,134.25
  5. Step 5: Solve for x
    x = 93,134.25/372.25
  6. Step 6: Final answer
    x = 250.20

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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.