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Finding the Fourth Proportional to 279.09, 385.43 and 196.34

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Solution

The fourth proportional to 279.09, 385.43 and 196.34 is: 271.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.09 : 385.43 = 196.34 : x
  2. Step 2: Convert to fraction form
    279.09/385.43 = 196.34/x
  3. Step 3: Cross multiply
    279.09x = 385.43 × 196.34
  4. Step 4: Simplify right side
    279.09x = 75,672.42
  5. Step 5: Solve for x
    x = 75,672.42/279.09
  6. Step 6: Final answer
    x = 271.14

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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.