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Finding the Fourth Proportional to 278.20, 415.18 and 247.44

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Solution

The fourth proportional to 278.20, 415.18 and 247.44 is: 369.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.20 : 415.18 = 247.44 : x
  2. Step 2: Convert to fraction form
    278.20/415.18 = 247.44/x
  3. Step 3: Cross multiply
    278.20x = 415.18 × 247.44
  4. Step 4: Simplify right side
    278.20x = 102,732.14
  5. Step 5: Solve for x
    x = 102,732.14/278.20
  6. Step 6: Final answer
    x = 369.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.