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Finding the Fourth Proportional to 321.53, 443.66 and 197.24

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Solution

The fourth proportional to 321.53, 443.66 and 197.24 is: 272.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.53 : 443.66 = 197.24 : x
  2. Step 2: Convert to fraction form
    321.53/443.66 = 197.24/x
  3. Step 3: Cross multiply
    321.53x = 443.66 × 197.24
  4. Step 4: Simplify right side
    321.53x = 87,504.29
  5. Step 5: Solve for x
    x = 87,504.29/321.53
  6. Step 6: Final answer
    x = 272.15

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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.