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Finding the Fourth Proportional to 327.30, 451.44 and 196.22

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Solution

The fourth proportional to 327.30, 451.44 and 196.22 is: 270.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.30 : 451.44 = 196.22 : x
  2. Step 2: Convert to fraction form
    327.30/451.44 = 196.22/x
  3. Step 3: Cross multiply
    327.30x = 451.44 × 196.22
  4. Step 4: Simplify right side
    327.30x = 88,581.56
  5. Step 5: Solve for x
    x = 88,581.56/327.30
  6. Step 6: Final answer
    x = 270.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.