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Finding the Fourth Proportional to 278.14, 417.18 and 85.78

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Solution

The fourth proportional to 278.14, 417.18 and 85.78 is: 128.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.14 : 417.18 = 85.78 : x
  2. Step 2: Convert to fraction form
    278.14/417.18 = 85.78/x
  3. Step 3: Cross multiply
    278.14x = 417.18 × 85.78
  4. Step 4: Simplify right side
    278.14x = 35,785.70
  5. Step 5: Solve for x
    x = 35,785.70/278.14
  6. Step 6: Final answer
    x = 128.66

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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.