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Finding the Fourth Proportional to 278.24, 417.40 and 85.88

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Solution

The fourth proportional to 278.24, 417.40 and 85.88 is: 128.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.24 : 417.40 = 85.88 : x
  2. Step 2: Convert to fraction form
    278.24/417.40 = 85.88/x
  3. Step 3: Cross multiply
    278.24x = 417.40 × 85.88
  4. Step 4: Simplify right side
    278.24x = 35,846.31
  5. Step 5: Solve for x
    x = 35,846.31/278.24
  6. Step 6: Final answer
    x = 128.83

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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.