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Finding the Fourth Proportional to 372.96, 559.42 and 177.82

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Solution

The fourth proportional to 372.96, 559.42 and 177.82 is: 266.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.96 : 559.42 = 177.82 : x
  2. Step 2: Convert to fraction form
    372.96/559.42 = 177.82/x
  3. Step 3: Cross multiply
    372.96x = 559.42 × 177.82
  4. Step 4: Simplify right side
    372.96x = 99,472.38
  5. Step 5: Solve for x
    x = 99,472.38/372.96
  6. Step 6: Final answer
    x = 266.71

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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.