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Finding the Fourth Proportional to 267.97, 401.98 and 75.59

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Solution

The fourth proportional to 267.97, 401.98 and 75.59 is: 113.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.97 : 401.98 = 75.59 : x
  2. Step 2: Convert to fraction form
    267.97/401.98 = 75.59/x
  3. Step 3: Cross multiply
    267.97x = 401.98 × 75.59
  4. Step 4: Simplify right side
    267.97x = 30,385.67
  5. Step 5: Solve for x
    x = 30,385.67/267.97
  6. Step 6: Final answer
    x = 113.39

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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.