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Finding the Fourth Proportional to 372.57, 558.24 and 166.83

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Solution

The fourth proportional to 372.57, 558.24 and 166.83 is: 249.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.57 : 558.24 = 166.83 : x
  2. Step 2: Convert to fraction form
    372.57/558.24 = 166.83/x
  3. Step 3: Cross multiply
    372.57x = 558.24 × 166.83
  4. Step 4: Simplify right side
    372.57x = 93,131.18
  5. Step 5: Solve for x
    x = 93,131.18/372.57
  6. Step 6: Final answer
    x = 249.97

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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.