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Finding the Fourth Proportional to 187.92, 281.70 and 123.84

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Solution

The fourth proportional to 187.92, 281.70 and 123.84 is: 185.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.92 : 281.70 = 123.84 : x
  2. Step 2: Convert to fraction form
    187.92/281.70 = 123.84/x
  3. Step 3: Cross multiply
    187.92x = 281.70 × 123.84
  4. Step 4: Simplify right side
    187.92x = 34,885.73
  5. Step 5: Solve for x
    x = 34,885.73/187.92
  6. Step 6: Final answer
    x = 185.64

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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.