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Finding the Fourth Proportional to 268.43, 402.71 and 85.82

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Solution

The fourth proportional to 268.43, 402.71 and 85.82 is: 128.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.43 : 402.71 = 85.82 : x
  2. Step 2: Convert to fraction form
    268.43/402.71 = 85.82/x
  3. Step 3: Cross multiply
    268.43x = 402.71 × 85.82
  4. Step 4: Simplify right side
    268.43x = 34,558.13
  5. Step 5: Solve for x
    x = 34,558.13/268.43
  6. Step 6: Final answer
    x = 128.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.