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Finding the Fourth Proportional to 220.78, 331.24 and 182.35

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Solution

The fourth proportional to 220.78, 331.24 and 182.35 is: 273.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.78 : 331.24 = 182.35 : x
  2. Step 2: Convert to fraction form
    220.78/331.24 = 182.35/x
  3. Step 3: Cross multiply
    220.78x = 331.24 × 182.35
  4. Step 4: Simplify right side
    220.78x = 60,401.91
  5. Step 5: Solve for x
    x = 60,401.91/220.78
  6. Step 6: Final answer
    x = 273.59

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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.