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Finding the Fourth Proportional to 321.57, 443.76 and 174.20

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Solution

The fourth proportional to 321.57, 443.76 and 174.20 is: 240.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.57 : 443.76 = 174.20 : x
  2. Step 2: Convert to fraction form
    321.57/443.76 = 174.20/x
  3. Step 3: Cross multiply
    321.57x = 443.76 × 174.20
  4. Step 4: Simplify right side
    321.57x = 77,304.10
  5. Step 5: Solve for x
    x = 77,304.10/321.57
  6. Step 6: Final answer
    x = 240.40

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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.