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Finding the Fourth Proportional to 182.27, 272.05 and 161.78

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Solution

The fourth proportional to 182.27, 272.05 and 161.78 is: 241.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.27 : 272.05 = 161.78 : x
  2. Step 2: Convert to fraction form
    182.27/272.05 = 161.78/x
  3. Step 3: Cross multiply
    182.27x = 272.05 × 161.78
  4. Step 4: Simplify right side
    182.27x = 44,010.48
  5. Step 5: Solve for x
    x = 44,010.48/182.27
  6. Step 6: Final answer
    x = 241.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.