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Finding the Fourth Proportional to 182.77, 251.92 and 149.97

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Solution

The fourth proportional to 182.77, 251.92 and 149.97 is: 206.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.77 : 251.92 = 149.97 : x
  2. Step 2: Convert to fraction form
    182.77/251.92 = 149.97/x
  3. Step 3: Cross multiply
    182.77x = 251.92 × 149.97
  4. Step 4: Simplify right side
    182.77x = 37,780.44
  5. Step 5: Solve for x
    x = 37,780.44/182.77
  6. Step 6: Final answer
    x = 206.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.