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Finding the Fourth Proportional to 252.96, 379.06 and 161.44

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Solution

The fourth proportional to 252.96, 379.06 and 161.44 is: 241.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.96 : 379.06 = 161.44 : x
  2. Step 2: Convert to fraction form
    252.96/379.06 = 161.44/x
  3. Step 3: Cross multiply
    252.96x = 379.06 × 161.44
  4. Step 4: Simplify right side
    252.96x = 61,195.45
  5. Step 5: Solve for x
    x = 61,195.45/252.96
  6. Step 6: Final answer
    x = 241.92

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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.