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Finding the Fourth Proportional to 187.92, 281.52 and 146.88

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Solution

The fourth proportional to 187.92, 281.52 and 146.88 is: 220.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.92 : 281.52 = 146.88 : x
  2. Step 2: Convert to fraction form
    187.92/281.52 = 146.88/x
  3. Step 3: Cross multiply
    187.92x = 281.52 × 146.88
  4. Step 4: Simplify right side
    187.92x = 41,349.66
  5. Step 5: Solve for x
    x = 41,349.66/187.92
  6. Step 6: Final answer
    x = 220.04

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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.