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Finding the Fourth Proportional to 182.30, 251.43 and 140.97

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Solution

The fourth proportional to 182.30, 251.43 and 140.97 is: 194.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.30 : 251.43 = 140.97 : x
  2. Step 2: Convert to fraction form
    182.30/251.43 = 140.97/x
  3. Step 3: Cross multiply
    182.30x = 251.43 × 140.97
  4. Step 4: Simplify right side
    182.30x = 35,442.78
  5. Step 5: Solve for x
    x = 35,442.78/182.30
  6. Step 6: Final answer
    x = 194.42

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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.