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Finding the Fourth Proportional to 321.65, 443.88 and 197.27

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Solution

The fourth proportional to 321.65, 443.88 and 197.27 is: 272.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.65 : 443.88 = 197.27 : x
  2. Step 2: Convert to fraction form
    321.65/443.88 = 197.27/x
  3. Step 3: Cross multiply
    321.65x = 443.88 × 197.27
  4. Step 4: Simplify right side
    321.65x = 87,565.32
  5. Step 5: Solve for x
    x = 87,565.32/321.65
  6. Step 6: Final answer
    x = 272.24

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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.