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Finding the Fourth Proportional to 182.12, 251.19 and 116.73

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Solution

The fourth proportional to 182.12, 251.19 and 116.73 is: 161.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.12 : 251.19 = 116.73 : x
  2. Step 2: Convert to fraction form
    182.12/251.19 = 116.73/x
  3. Step 3: Cross multiply
    182.12x = 251.19 × 116.73
  4. Step 4: Simplify right side
    182.12x = 29,321.41
  5. Step 5: Solve for x
    x = 29,321.41/182.12
  6. Step 6: Final answer
    x = 161.00

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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.