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Finding the Fourth Proportional to 267.97, 402.12 and 105.65

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Solution

The fourth proportional to 267.97, 402.12 and 105.65 is: 158.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.97 : 402.12 = 105.65 : x
  2. Step 2: Convert to fraction form
    267.97/402.12 = 105.65/x
  3. Step 3: Cross multiply
    267.97x = 402.12 × 105.65
  4. Step 4: Simplify right side
    267.97x = 42,483.98
  5. Step 5: Solve for x
    x = 42,483.98/267.97
  6. Step 6: Final answer
    x = 158.54

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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.