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Finding the Fourth Proportional to 185.13, 277.97 and 182.43

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Solution

The fourth proportional to 185.13, 277.97 and 182.43 is: 273.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.13 : 277.97 = 182.43 : x
  2. Step 2: Convert to fraction form
    185.13/277.97 = 182.43/x
  3. Step 3: Cross multiply
    185.13x = 277.97 × 182.43
  4. Step 4: Simplify right side
    185.13x = 50,709.15
  5. Step 5: Solve for x
    x = 50,709.15/185.13
  6. Step 6: Final answer
    x = 273.91

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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.