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Finding the Fourth Proportional to 382.75, 574.06 and 166.39

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Solution

The fourth proportional to 382.75, 574.06 and 166.39 is: 249.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.75 : 574.06 = 166.39 : x
  2. Step 2: Convert to fraction form
    382.75/574.06 = 166.39/x
  3. Step 3: Cross multiply
    382.75x = 574.06 × 166.39
  4. Step 4: Simplify right side
    382.75x = 95,517.84
  5. Step 5: Solve for x
    x = 95,517.84/382.75
  6. Step 6: Final answer
    x = 249.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.