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Finding the Fourth Proportional to 322.31, 444.69 and 197.91

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Solution

The fourth proportional to 322.31, 444.69 and 197.91 is: 273.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.31 : 444.69 = 197.91 : x
  2. Step 2: Convert to fraction form
    322.31/444.69 = 197.91/x
  3. Step 3: Cross multiply
    322.31x = 444.69 × 197.91
  4. Step 4: Simplify right side
    322.31x = 88,008.60
  5. Step 5: Solve for x
    x = 88,008.60/322.31
  6. Step 6: Final answer
    x = 273.05

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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.