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Finding the Fourth Proportional to 322.18, 444.46 and 196.12

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Solution

The fourth proportional to 322.18, 444.46 and 196.12 is: 270.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.18 : 444.46 = 196.12 : x
  2. Step 2: Convert to fraction form
    322.18/444.46 = 196.12/x
  3. Step 3: Cross multiply
    322.18x = 444.46 × 196.12
  4. Step 4: Simplify right side
    322.18x = 87,168.48
  5. Step 5: Solve for x
    x = 87,168.48/322.18
  6. Step 6: Final answer
    x = 270.56

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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.