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Finding the Fourth Proportional to 281.91, 422.60 and 178.88

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Solution

The fourth proportional to 281.91, 422.60 and 178.88 is: 268.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.91 : 422.60 = 178.88 : x
  2. Step 2: Convert to fraction form
    281.91/422.60 = 178.88/x
  3. Step 3: Cross multiply
    281.91x = 422.60 × 178.88
  4. Step 4: Simplify right side
    281.91x = 75,591.68
  5. Step 5: Solve for x
    x = 75,591.68/281.91
  6. Step 6: Final answer
    x = 268.14

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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.