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Finding the Fourth Proportional to 268.08, 402.14 and 85.49

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Solution

The fourth proportional to 268.08, 402.14 and 85.49 is: 128.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.08 : 402.14 = 85.49 : x
  2. Step 2: Convert to fraction form
    268.08/402.14 = 85.49/x
  3. Step 3: Cross multiply
    268.08x = 402.14 × 85.49
  4. Step 4: Simplify right side
    268.08x = 34,378.95
  5. Step 5: Solve for x
    x = 34,378.95/268.08
  6. Step 6: Final answer
    x = 128.24

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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.