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Finding the Fourth Proportional to 279.04, 385.12 and 196.26

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Solution

The fourth proportional to 279.04, 385.12 and 196.26 is: 270.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.04 : 385.12 = 196.26 : x
  2. Step 2: Convert to fraction form
    279.04/385.12 = 196.26/x
  3. Step 3: Cross multiply
    279.04x = 385.12 × 196.26
  4. Step 4: Simplify right side
    279.04x = 75,583.65
  5. Step 5: Solve for x
    x = 75,583.65/279.04
  6. Step 6: Final answer
    x = 270.87

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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.