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Finding the Fourth Proportional to 321.10, 443.13 and 173.74

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Solution

The fourth proportional to 321.10, 443.13 and 173.74 is: 239.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.10 : 443.13 = 173.74 : x
  2. Step 2: Convert to fraction form
    321.10/443.13 = 173.74/x
  3. Step 3: Cross multiply
    321.10x = 443.13 × 173.74
  4. Step 4: Simplify right side
    321.10x = 76,988.54
  5. Step 5: Solve for x
    x = 76,988.54/321.10
  6. Step 6: Final answer
    x = 239.76

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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.