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Finding the Fourth Proportional to 268.22, 402.33 and 75.85

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Solution

The fourth proportional to 268.22, 402.33 and 75.85 is: 113.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.22 : 402.33 = 75.85 : x
  2. Step 2: Convert to fraction form
    268.22/402.33 = 75.85/x
  3. Step 3: Cross multiply
    268.22x = 402.33 × 75.85
  4. Step 4: Simplify right side
    268.22x = 30,515.72
  5. Step 5: Solve for x
    x = 30,515.72/268.22
  6. Step 6: Final answer
    x = 113.77

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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.