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Finding the Fourth Proportional to 267.78, 401.69 and 75.42

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Solution

The fourth proportional to 267.78, 401.69 and 75.42 is: 113.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.78 : 401.69 = 75.42 : x
  2. Step 2: Convert to fraction form
    267.78/401.69 = 75.42/x
  3. Step 3: Cross multiply
    267.78x = 401.69 × 75.42
  4. Step 4: Simplify right side
    267.78x = 30,296.28
  5. Step 5: Solve for x
    x = 30,296.28/267.78
  6. Step 6: Final answer
    x = 113.14

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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.