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Finding the Fourth Proportional to 278.34, 417.42 and 115.96

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Solution

The fourth proportional to 278.34, 417.42 and 115.96 is: 173.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.34 : 417.42 = 115.96 : x
  2. Step 2: Convert to fraction form
    278.34/417.42 = 115.96/x
  3. Step 3: Cross multiply
    278.34x = 417.42 × 115.96
  4. Step 4: Simplify right side
    278.34x = 48,404.02
  5. Step 5: Solve for x
    x = 48,404.02/278.34
  6. Step 6: Final answer
    x = 173.90

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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.