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Finding the Fourth Proportional to 281.96, 422.89 and 76.54

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Solution

The fourth proportional to 281.96, 422.89 and 76.54 is: 114.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.96 : 422.89 = 76.54 : x
  2. Step 2: Convert to fraction form
    281.96/422.89 = 76.54/x
  3. Step 3: Cross multiply
    281.96x = 422.89 × 76.54
  4. Step 4: Simplify right side
    281.96x = 32,366.75
  5. Step 5: Solve for x
    x = 32,366.75/281.96
  6. Step 6: Final answer
    x = 114.79

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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.