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Finding the Fourth Proportional to 182.13, 272.04 and 161.97

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Solution

The fourth proportional to 182.13, 272.04 and 161.97 is: 241.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.13 : 272.04 = 161.97 : x
  2. Step 2: Convert to fraction form
    182.13/272.04 = 161.97/x
  3. Step 3: Cross multiply
    182.13x = 272.04 × 161.97
  4. Step 4: Simplify right side
    182.13x = 44,062.32
  5. Step 5: Solve for x
    x = 44,062.32/182.13
  6. Step 6: Final answer
    x = 241.93

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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.