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Finding the Fourth Proportional to 182.39, 273.11 and 130.82

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Solution

The fourth proportional to 182.39, 273.11 and 130.82 is: 195.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.39 : 273.11 = 130.82 : x
  2. Step 2: Convert to fraction form
    182.39/273.11 = 130.82/x
  3. Step 3: Cross multiply
    182.39x = 273.11 × 130.82
  4. Step 4: Simplify right side
    182.39x = 35,726.23
  5. Step 5: Solve for x
    x = 35,726.23/182.39
  6. Step 6: Final answer
    x = 195.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.