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Finding the Fourth Proportional to 278.08, 417.16 and 85.70

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Solution

The fourth proportional to 278.08, 417.16 and 85.70 is: 128.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.08 : 417.16 = 85.70 : x
  2. Step 2: Convert to fraction form
    278.08/417.16 = 85.70/x
  3. Step 3: Cross multiply
    278.08x = 417.16 × 85.70
  4. Step 4: Simplify right side
    278.08x = 35,750.61
  5. Step 5: Solve for x
    x = 35,750.61/278.08
  6. Step 6: Final answer
    x = 128.56

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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.