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Finding the Fourth Proportional to 321.40, 443.77 and 197.23

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Solution

The fourth proportional to 321.40, 443.77 and 197.23 is: 272.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.40 : 443.77 = 197.23 : x
  2. Step 2: Convert to fraction form
    321.40/443.77 = 197.23/x
  3. Step 3: Cross multiply
    321.40x = 443.77 × 197.23
  4. Step 4: Simplify right side
    321.40x = 87,524.76
  5. Step 5: Solve for x
    x = 87,524.76/321.40
  6. Step 6: Final answer
    x = 272.32

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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.