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Finding the Fourth Proportional to 382.78, 574.08 and 166.42

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Solution

The fourth proportional to 382.78, 574.08 and 166.42 is: 249.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.78 : 574.08 = 166.42 : x
  2. Step 2: Convert to fraction form
    382.78/574.08 = 166.42/x
  3. Step 3: Cross multiply
    382.78x = 574.08 × 166.42
  4. Step 4: Simplify right side
    382.78x = 95,538.39
  5. Step 5: Solve for x
    x = 95,538.39/382.78
  6. Step 6: Final answer
    x = 249.59

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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.