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Finding the Fourth Proportional to 281.83, 422.97 and 178.86

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Solution

The fourth proportional to 281.83, 422.97 and 178.86 is: 268.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.83 : 422.97 = 178.86 : x
  2. Step 2: Convert to fraction form
    281.83/422.97 = 178.86/x
  3. Step 3: Cross multiply
    281.83x = 422.97 × 178.86
  4. Step 4: Simplify right side
    281.83x = 75,651.96
  5. Step 5: Solve for x
    x = 75,651.96/281.83
  6. Step 6: Final answer
    x = 268.43

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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.