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Finding the Fourth Proportional to 372.57, 558.11 and 177.76

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Solution

The fourth proportional to 372.57, 558.11 and 177.76 is: 266.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.57 : 558.11 = 177.76 : x
  2. Step 2: Convert to fraction form
    372.57/558.11 = 177.76/x
  3. Step 3: Cross multiply
    372.57x = 558.11 × 177.76
  4. Step 4: Simplify right side
    372.57x = 99,211.47
  5. Step 5: Solve for x
    x = 99,211.47/372.57
  6. Step 6: Final answer
    x = 266.29

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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.