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Finding the Fourth Proportional to 281.74, 422.56 and 76.26

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Solution

The fourth proportional to 281.74, 422.56 and 76.26 is: 114.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.74 : 422.56 = 76.26 : x
  2. Step 2: Convert to fraction form
    281.74/422.56 = 76.26/x
  3. Step 3: Cross multiply
    281.74x = 422.56 × 76.26
  4. Step 4: Simplify right side
    281.74x = 32,224.52
  5. Step 5: Solve for x
    x = 32,224.52/281.74
  6. Step 6: Final answer
    x = 114.38

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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.