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Finding the Fourth Proportional to 278.70, 418.17 and 116.42

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Solution

The fourth proportional to 278.70, 418.17 and 116.42 is: 174.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.70 : 418.17 = 116.42 : x
  2. Step 2: Convert to fraction form
    278.70/418.17 = 116.42/x
  3. Step 3: Cross multiply
    278.70x = 418.17 × 116.42
  4. Step 4: Simplify right side
    278.70x = 48,683.35
  5. Step 5: Solve for x
    x = 48,683.35/278.70
  6. Step 6: Final answer
    x = 174.68

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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.