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Finding the Fourth Proportional to 187.62, 281.38 and 65.82

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Solution

The fourth proportional to 187.62, 281.38 and 65.82 is: 98.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.62 : 281.38 = 65.82 : x
  2. Step 2: Convert to fraction form
    187.62/281.38 = 65.82/x
  3. Step 3: Cross multiply
    187.62x = 281.38 × 65.82
  4. Step 4: Simplify right side
    187.62x = 18,520.43
  5. Step 5: Solve for x
    x = 18,520.43/187.62
  6. Step 6: Final answer
    x = 98.71

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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.