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Finding the Fourth Proportional to 278.96, 418.14 and 116.56

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Solution

The fourth proportional to 278.96, 418.14 and 116.56 is: 174.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.96 : 418.14 = 116.56 : x
  2. Step 2: Convert to fraction form
    278.96/418.14 = 116.56/x
  3. Step 3: Cross multiply
    278.96x = 418.14 × 116.56
  4. Step 4: Simplify right side
    278.96x = 48,738.40
  5. Step 5: Solve for x
    x = 48,738.40/278.96
  6. Step 6: Final answer
    x = 174.71

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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.