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Finding the Fourth Proportional to 321.54, 443.73 and 197.26

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Solution

The fourth proportional to 321.54, 443.73 and 197.26 is: 272.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.54 : 443.73 = 197.26 : x
  2. Step 2: Convert to fraction form
    321.54/443.73 = 197.26/x
  3. Step 3: Cross multiply
    321.54x = 443.73 × 197.26
  4. Step 4: Simplify right side
    321.54x = 87,531.82
  5. Step 5: Solve for x
    x = 87,531.82/321.54
  6. Step 6: Final answer
    x = 272.23

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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.