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Finding the Fourth Proportional to 279.38, 385.25 and 196.35

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Solution

The fourth proportional to 279.38, 385.25 and 196.35 is: 270.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.38 : 385.25 = 196.35 : x
  2. Step 2: Convert to fraction form
    279.38/385.25 = 196.35/x
  3. Step 3: Cross multiply
    279.38x = 385.25 × 196.35
  4. Step 4: Simplify right side
    279.38x = 75,642.86
  5. Step 5: Solve for x
    x = 75,642.86/279.38
  6. Step 6: Final answer
    x = 270.76

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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.