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Finding the Fourth Proportional to 321.54, 443.72 and 174.17

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Solution

The fourth proportional to 321.54, 443.72 and 174.17 is: 240.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.54 : 443.72 = 174.17 : x
  2. Step 2: Convert to fraction form
    321.54/443.72 = 174.17/x
  3. Step 3: Cross multiply
    321.54x = 443.72 × 174.17
  4. Step 4: Simplify right side
    321.54x = 77,281.17
  5. Step 5: Solve for x
    x = 77,281.17/321.54
  6. Step 6: Final answer
    x = 240.35

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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.