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Finding the Fourth Proportional to 327.32, 451.54 and 196.24

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Solution

The fourth proportional to 327.32, 451.54 and 196.24 is: 270.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.32 : 451.54 = 196.24 : x
  2. Step 2: Convert to fraction form
    327.32/451.54 = 196.24/x
  3. Step 3: Cross multiply
    327.32x = 451.54 × 196.24
  4. Step 4: Simplify right side
    327.32x = 88,610.21
  5. Step 5: Solve for x
    x = 88,610.21/327.32
  6. Step 6: Final answer
    x = 270.71

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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.