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Finding the Fourth Proportional to 327.15, 451.22 and 196.02

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Solution

The fourth proportional to 327.15, 451.22 and 196.02 is: 270.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.15 : 451.22 = 196.02 : x
  2. Step 2: Convert to fraction form
    327.15/451.22 = 196.02/x
  3. Step 3: Cross multiply
    327.15x = 451.22 × 196.02
  4. Step 4: Simplify right side
    327.15x = 88,447.16
  5. Step 5: Solve for x
    x = 88,447.16/327.15
  6. Step 6: Final answer
    x = 270.36

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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.