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Finding the Fourth Proportional to 383.26, 575.12 and 166.78

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Solution

The fourth proportional to 383.26, 575.12 and 166.78 is: 250.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.26 : 575.12 = 166.78 : x
  2. Step 2: Convert to fraction form
    383.26/575.12 = 166.78/x
  3. Step 3: Cross multiply
    383.26x = 575.12 × 166.78
  4. Step 4: Simplify right side
    383.26x = 95,917.68
  5. Step 5: Solve for x
    x = 95,917.68/383.26
  6. Step 6: Final answer
    x = 250.27

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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.