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Finding the Fourth Proportional to 279.38, 385.62 and 168.92

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Solution

The fourth proportional to 279.38, 385.62 and 168.92 is: 233.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.38 : 385.62 = 168.92 : x
  2. Step 2: Convert to fraction form
    279.38/385.62 = 168.92/x
  3. Step 3: Cross multiply
    279.38x = 385.62 × 168.92
  4. Step 4: Simplify right side
    279.38x = 65,138.93
  5. Step 5: Solve for x
    x = 65,138.93/279.38
  6. Step 6: Final answer
    x = 233.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.