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Finding the Fourth Proportional to 327.80, 452.39 and 196.83

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Solution

The fourth proportional to 327.80, 452.39 and 196.83 is: 271.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.80 : 452.39 = 196.83 : x
  2. Step 2: Convert to fraction form
    327.80/452.39 = 196.83/x
  3. Step 3: Cross multiply
    327.80x = 452.39 × 196.83
  4. Step 4: Simplify right side
    327.80x = 89,042.94
  5. Step 5: Solve for x
    x = 89,042.94/327.80
  6. Step 6: Final answer
    x = 271.64

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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.