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Finding the Fourth Proportional to 322.13, 444.38 and 197.82

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Solution

The fourth proportional to 322.13, 444.38 and 197.82 is: 272.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.13 : 444.38 = 197.82 : x
  2. Step 2: Convert to fraction form
    322.13/444.38 = 197.82/x
  3. Step 3: Cross multiply
    322.13x = 444.38 × 197.82
  4. Step 4: Simplify right side
    322.13x = 87,906.26
  5. Step 5: Solve for x
    x = 87,906.26/322.13
  6. Step 6: Final answer
    x = 272.89

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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.