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Finding the Fourth Proportional to 279.74, 385.74 and 196.82

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Solution

The fourth proportional to 279.74, 385.74 and 196.82 is: 271.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.74 : 385.74 = 196.82 : x
  2. Step 2: Convert to fraction form
    279.74/385.74 = 196.82/x
  3. Step 3: Cross multiply
    279.74x = 385.74 × 196.82
  4. Step 4: Simplify right side
    279.74x = 75,921.35
  5. Step 5: Solve for x
    x = 75,921.35/279.74
  6. Step 6: Final answer
    x = 271.40

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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.