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Finding the Fourth Proportional to 321.47, 443.64 and 197.19

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Solution

The fourth proportional to 321.47, 443.64 and 197.19 is: 272.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.47 : 443.64 = 197.19 : x
  2. Step 2: Convert to fraction form
    321.47/443.64 = 197.19/x
  3. Step 3: Cross multiply
    321.47x = 443.64 × 197.19
  4. Step 4: Simplify right side
    321.47x = 87,481.37
  5. Step 5: Solve for x
    x = 87,481.37/321.47
  6. Step 6: Final answer
    x = 272.13

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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.