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Finding the Fourth Proportional to 281.64, 422.17 and 159.65

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Solution

The fourth proportional to 281.64, 422.17 and 159.65 is: 239.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.64 : 422.17 = 159.65 : x
  2. Step 2: Convert to fraction form
    281.64/422.17 = 159.65/x
  3. Step 3: Cross multiply
    281.64x = 422.17 × 159.65
  4. Step 4: Simplify right side
    281.64x = 67,398.45
  5. Step 5: Solve for x
    x = 67,398.45/281.64
  6. Step 6: Final answer
    x = 239.31

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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.