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Finding the Fourth Proportional to 327.96, 452.54 and 196.96

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Solution

The fourth proportional to 327.96, 452.54 and 196.96 is: 271.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.96 : 452.54 = 196.96 : x
  2. Step 2: Convert to fraction form
    327.96/452.54 = 196.96/x
  3. Step 3: Cross multiply
    327.96x = 452.54 × 196.96
  4. Step 4: Simplify right side
    327.96x = 89,132.28
  5. Step 5: Solve for x
    x = 89,132.28/327.96
  6. Step 6: Final answer
    x = 271.78

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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.