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Finding the Fourth Proportional to 278.89, 418.34 and 116.49

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Solution

The fourth proportional to 278.89, 418.34 and 116.49 is: 174.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.89 : 418.34 = 116.49 : x
  2. Step 2: Convert to fraction form
    278.89/418.34 = 116.49/x
  3. Step 3: Cross multiply
    278.89x = 418.34 × 116.49
  4. Step 4: Simplify right side
    278.89x = 48,731.09
  5. Step 5: Solve for x
    x = 48,731.09/278.89
  6. Step 6: Final answer
    x = 174.73

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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.