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Finding the Fourth Proportional to 279.19, 385.16 and 196.35

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Solution

The fourth proportional to 279.19, 385.16 and 196.35 is: 270.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.19 : 385.16 = 196.35 : x
  2. Step 2: Convert to fraction form
    279.19/385.16 = 196.35/x
  3. Step 3: Cross multiply
    279.19x = 385.16 × 196.35
  4. Step 4: Simplify right side
    279.19x = 75,626.17
  5. Step 5: Solve for x
    x = 75,626.17/279.19
  6. Step 6: Final answer
    x = 270.88

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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.