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Finding the Fourth Proportional to 267.38, 401.09 and 75

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Solution

The fourth proportional to 267.38, 401.09 and 75 is: 112.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.38 : 401.09 = 75 : x
  2. Step 2: Convert to fraction form
    267.38/401.09 = 75/x
  3. Step 3: Cross multiply
    267.38x = 401.09 × 75
  4. Step 4: Simplify right side
    267.38x = 30,081.38
  5. Step 5: Solve for x
    x = 30,081.38/267.38
  6. Step 6: Final answer
    x = 112.51

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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.