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Finding the Fourth Proportional to 182.24, 251.46 and 116.83

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Solution

The fourth proportional to 182.24, 251.46 and 116.83 is: 161.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.24 : 251.46 = 116.83 : x
  2. Step 2: Convert to fraction form
    182.24/251.46 = 116.83/x
  3. Step 3: Cross multiply
    182.24x = 251.46 × 116.83
  4. Step 4: Simplify right side
    182.24x = 29,377.44
  5. Step 5: Solve for x
    x = 29,377.44/182.24
  6. Step 6: Final answer
    x = 161.21

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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.