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Finding the Fourth Proportional to 278.10, 417.14 and 85.73

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Solution

The fourth proportional to 278.10, 417.14 and 85.73 is: 128.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.10 : 417.14 = 85.73 : x
  2. Step 2: Convert to fraction form
    278.10/417.14 = 85.73/x
  3. Step 3: Cross multiply
    278.10x = 417.14 × 85.73
  4. Step 4: Simplify right side
    278.10x = 35,759.33
  5. Step 5: Solve for x
    x = 35,759.33/278.10
  6. Step 6: Final answer
    x = 128.58

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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.