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Finding the Fourth Proportional to 187.57, 281.41 and 77.90

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Solution

The fourth proportional to 187.57, 281.41 and 77.90 is: 116.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.57 : 281.41 = 77.90 : x
  2. Step 2: Convert to fraction form
    187.57/281.41 = 77.90/x
  3. Step 3: Cross multiply
    187.57x = 281.41 × 77.90
  4. Step 4: Simplify right side
    187.57x = 21,920.24
  5. Step 5: Solve for x
    x = 21,920.24/187.57
  6. Step 6: Final answer
    x = 116.86

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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.