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Finding the Fourth Proportional to 327.22, 451.58 and 196.27

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Solution

The fourth proportional to 327.22, 451.58 and 196.27 is: 270.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.22 : 451.58 = 196.27 : x
  2. Step 2: Convert to fraction form
    327.22/451.58 = 196.27/x
  3. Step 3: Cross multiply
    327.22x = 451.58 × 196.27
  4. Step 4: Simplify right side
    327.22x = 88,629.50
  5. Step 5: Solve for x
    x = 88,629.50/327.22
  6. Step 6: Final answer
    x = 270.86

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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.