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Finding the Fourth Proportional to 447.89, 671.76 and 187.92

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Solution

The fourth proportional to 447.89, 671.76 and 187.92 is: 281.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.89 : 671.76 = 187.92 : x
  2. Step 2: Convert to fraction form
    447.89/671.76 = 187.92/x
  3. Step 3: Cross multiply
    447.89x = 671.76 × 187.92
  4. Step 4: Simplify right side
    447.89x = 126,237.14
  5. Step 5: Solve for x
    x = 126,237.14/447.89
  6. Step 6: Final answer
    x = 281.85

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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.