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Finding the Fourth Proportional to 182.38, 273.71 and 121.63

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Solution

The fourth proportional to 182.38, 273.71 and 121.63 is: 182.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.38 : 273.71 = 121.63 : x
  2. Step 2: Convert to fraction form
    182.38/273.71 = 121.63/x
  3. Step 3: Cross multiply
    182.38x = 273.71 × 121.63
  4. Step 4: Simplify right side
    182.38x = 33,290.74
  5. Step 5: Solve for x
    x = 33,290.74/182.38
  6. Step 6: Final answer
    x = 182.54

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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.