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Finding the Fourth Proportional to 268.15, 402.14 and 85.50

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Solution

The fourth proportional to 268.15, 402.14 and 85.50 is: 128.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.15 : 402.14 = 85.50 : x
  2. Step 2: Convert to fraction form
    268.15/402.14 = 85.50/x
  3. Step 3: Cross multiply
    268.15x = 402.14 × 85.50
  4. Step 4: Simplify right side
    268.15x = 34,382.54
  5. Step 5: Solve for x
    x = 34,382.54/268.15
  6. Step 6: Final answer
    x = 128.22

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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.