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Finding the Fourth Proportional to 322.06, 444.56 and 197.88

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Solution

The fourth proportional to 322.06, 444.56 and 197.88 is: 273.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.06 : 444.56 = 197.88 : x
  2. Step 2: Convert to fraction form
    322.06/444.56 = 197.88/x
  3. Step 3: Cross multiply
    322.06x = 444.56 × 197.88
  4. Step 4: Simplify right side
    322.06x = 87,971.18
  5. Step 5: Solve for x
    x = 87,971.18/322.06
  6. Step 6: Final answer
    x = 273.15

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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.