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Finding the Fourth Proportional to 382.80, 574.48 and 166.54

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Solution

The fourth proportional to 382.80, 574.48 and 166.54 is: 249.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.80 : 574.48 = 166.54 : x
  2. Step 2: Convert to fraction form
    382.80/574.48 = 166.54/x
  3. Step 3: Cross multiply
    382.80x = 574.48 × 166.54
  4. Step 4: Simplify right side
    382.80x = 95,673.90
  5. Step 5: Solve for x
    x = 95,673.90/382.80
  6. Step 6: Final answer
    x = 249.93

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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.