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Finding the Fourth Proportional to 182.26, 251.31 and 140.74

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Solution

The fourth proportional to 182.26, 251.31 and 140.74 is: 194.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.26 : 251.31 = 140.74 : x
  2. Step 2: Convert to fraction form
    182.26/251.31 = 140.74/x
  3. Step 3: Cross multiply
    182.26x = 251.31 × 140.74
  4. Step 4: Simplify right side
    182.26x = 35,369.37
  5. Step 5: Solve for x
    x = 35,369.37/182.26
  6. Step 6: Final answer
    x = 194.06

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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.