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Finding the Fourth Proportional to 281.12, 422.08 and 159.62

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Solution

The fourth proportional to 281.12, 422.08 and 159.62 is: 239.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.12 : 422.08 = 159.62 : x
  2. Step 2: Convert to fraction form
    281.12/422.08 = 159.62/x
  3. Step 3: Cross multiply
    281.12x = 422.08 × 159.62
  4. Step 4: Simplify right side
    281.12x = 67,369.90
  5. Step 5: Solve for x
    x = 67,369.90/281.12
  6. Step 6: Final answer
    x = 239.65

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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.