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Finding the Fourth Proportional to 281.68, 422.42 and 105.96

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Solution

The fourth proportional to 281.68, 422.42 and 105.96 is: 158.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.68 : 422.42 = 105.96 : x
  2. Step 2: Convert to fraction form
    281.68/422.42 = 105.96/x
  3. Step 3: Cross multiply
    281.68x = 422.42 × 105.96
  4. Step 4: Simplify right side
    281.68x = 44,759.62
  5. Step 5: Solve for x
    x = 44,759.62/281.68
  6. Step 6: Final answer
    x = 158.90

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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.