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Finding the Fourth Proportional to 281.72, 422.24 and 160.10

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Solution

The fourth proportional to 281.72, 422.24 and 160.10 is: 239.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.72 : 422.24 = 160.10 : x
  2. Step 2: Convert to fraction form
    281.72/422.24 = 160.10/x
  3. Step 3: Cross multiply
    281.72x = 422.24 × 160.10
  4. Step 4: Simplify right side
    281.72x = 67,600.62
  5. Step 5: Solve for x
    x = 67,600.62/281.72
  6. Step 6: Final answer
    x = 239.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.