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Finding the Fourth Proportional to 268.27, 402.41 and 75.90

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Solution

The fourth proportional to 268.27, 402.41 and 75.90 is: 113.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.27 : 402.41 = 75.90 : x
  2. Step 2: Convert to fraction form
    268.27/402.41 = 75.90/x
  3. Step 3: Cross multiply
    268.27x = 402.41 × 75.90
  4. Step 4: Simplify right side
    268.27x = 30,541.91
  5. Step 5: Solve for x
    x = 30,541.91/268.27
  6. Step 6: Final answer
    x = 113.85

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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.