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Finding the Fourth Proportional to 281.98, 422.96 and 76.57

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Solution

The fourth proportional to 281.98, 422.96 and 76.57 is: 114.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.98 : 422.96 = 76.57 : x
  2. Step 2: Convert to fraction form
    281.98/422.96 = 76.57/x
  3. Step 3: Cross multiply
    281.98x = 422.96 × 76.57
  4. Step 4: Simplify right side
    281.98x = 32,385.18
  5. Step 5: Solve for x
    x = 32,385.18/281.98
  6. Step 6: Final answer
    x = 114.85

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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.