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Finding the Fourth Proportional to 187.57, 281.49 and 65.85

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Solution

The fourth proportional to 187.57, 281.49 and 65.85 is: 98.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.57 : 281.49 = 65.85 : x
  2. Step 2: Convert to fraction form
    187.57/281.49 = 65.85/x
  3. Step 3: Cross multiply
    187.57x = 281.49 × 65.85
  4. Step 4: Simplify right side
    187.57x = 18,534.71
  5. Step 5: Solve for x
    x = 18,534.71/187.57
  6. Step 6: Final answer
    x = 98.81

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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.