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Finding the Fourth Proportional to 278.22, 417.26 and 85.80

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Solution

The fourth proportional to 278.22, 417.26 and 85.80 is: 128.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.22 : 417.26 = 85.80 : x
  2. Step 2: Convert to fraction form
    278.22/417.26 = 85.80/x
  3. Step 3: Cross multiply
    278.22x = 417.26 × 85.80
  4. Step 4: Simplify right side
    278.22x = 35,800.91
  5. Step 5: Solve for x
    x = 35,800.91/278.22
  6. Step 6: Final answer
    x = 128.68

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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.