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Finding the Fourth Proportional to 322.19, 444.60 and 197.80

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Solution

The fourth proportional to 322.19, 444.60 and 197.80 is: 272.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.19 : 444.60 = 197.80 : x
  2. Step 2: Convert to fraction form
    322.19/444.60 = 197.80/x
  3. Step 3: Cross multiply
    322.19x = 444.60 × 197.80
  4. Step 4: Simplify right side
    322.19x = 87,938.67
  5. Step 5: Solve for x
    x = 87,938.67/322.19
  6. Step 6: Final answer
    x = 272.94

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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.