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Finding the Fourth Proportional to 327, 451.22 and 196

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Solution

The fourth proportional to 327, 451.22 and 196 is: 270.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    327 : 451.22 = 196 : x
  2. Step 2: Convert to fraction form
    327/451.22 = 196/x
  3. Step 3: Cross multiply
    327x = 451.22 × 196
  4. Step 4: Simplify right side
    327x = 88,439.12
  5. Step 5: Solve for x
    x = 88,439.12/327
  6. Step 6: Final answer
    x = 270.46

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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.