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Finding the Fourth Proportional to 321.80, 444.08 and 174.43

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Solution

The fourth proportional to 321.80, 444.08 and 174.43 is: 240.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.80 : 444.08 = 174.43 : x
  2. Step 2: Convert to fraction form
    321.80/444.08 = 174.43/x
  3. Step 3: Cross multiply
    321.80x = 444.08 × 174.43
  4. Step 4: Simplify right side
    321.80x = 77,459.55
  5. Step 5: Solve for x
    x = 77,459.55/321.80
  6. Step 6: Final answer
    x = 240.71

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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.