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Finding the Fourth Proportional to 187.91, 281.96 and 122.97

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Solution

The fourth proportional to 187.91, 281.96 and 122.97 is: 184.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.91 : 281.96 = 122.97 : x
  2. Step 2: Convert to fraction form
    187.91/281.96 = 122.97/x
  3. Step 3: Cross multiply
    187.91x = 281.96 × 122.97
  4. Step 4: Simplify right side
    187.91x = 34,672.62
  5. Step 5: Solve for x
    x = 34,672.62/187.91
  6. Step 6: Final answer
    x = 184.52

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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.