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Finding the Fourth Proportional to 327.28, 451.56 and 196.36

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Solution

The fourth proportional to 327.28, 451.56 and 196.36 is: 270.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.28 : 451.56 = 196.36 : x
  2. Step 2: Convert to fraction form
    327.28/451.56 = 196.36/x
  3. Step 3: Cross multiply
    327.28x = 451.56 × 196.36
  4. Step 4: Simplify right side
    327.28x = 88,668.32
  5. Step 5: Solve for x
    x = 88,668.32/327.28
  6. Step 6: Final answer
    x = 270.92

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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.