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Finding the Fourth Proportional to 182.26, 272.88 and 136.82

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Solution

The fourth proportional to 182.26, 272.88 and 136.82 is: 204.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.26 : 272.88 = 136.82 : x
  2. Step 2: Convert to fraction form
    182.26/272.88 = 136.82/x
  3. Step 3: Cross multiply
    182.26x = 272.88 × 136.82
  4. Step 4: Simplify right side
    182.26x = 37,335.44
  5. Step 5: Solve for x
    x = 37,335.44/182.26
  6. Step 6: Final answer
    x = 204.85

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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.