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Finding the Fourth Proportional to 182.71, 251.97 and 120.52

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Solution

The fourth proportional to 182.71, 251.97 and 120.52 is: 166.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.71 : 251.97 = 120.52 : x
  2. Step 2: Convert to fraction form
    182.71/251.97 = 120.52/x
  3. Step 3: Cross multiply
    182.71x = 251.97 × 120.52
  4. Step 4: Simplify right side
    182.71x = 30,367.42
  5. Step 5: Solve for x
    x = 30,367.42/182.71
  6. Step 6: Final answer
    x = 166.21

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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.