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Finding the Fourth Proportional to 321.92, 444.04 and 197.53

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Solution

The fourth proportional to 321.92, 444.04 and 197.53 is: 272.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.92 : 444.04 = 197.53 : x
  2. Step 2: Convert to fraction form
    321.92/444.04 = 197.53/x
  3. Step 3: Cross multiply
    321.92x = 444.04 × 197.53
  4. Step 4: Simplify right side
    321.92x = 87,711.22
  5. Step 5: Solve for x
    x = 87,711.22/321.92
  6. Step 6: Final answer
    x = 272.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.