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Finding the Fourth Proportional to 182.62, 272.30 and 161.03

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Solution

The fourth proportional to 182.62, 272.30 and 161.03 is: 240.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.62 : 272.30 = 161.03 : x
  2. Step 2: Convert to fraction form
    182.62/272.30 = 161.03/x
  3. Step 3: Cross multiply
    182.62x = 272.30 × 161.03
  4. Step 4: Simplify right side
    182.62x = 43,848.47
  5. Step 5: Solve for x
    x = 43,848.47/182.62
  6. Step 6: Final answer
    x = 240.11

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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.