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Finding the Fourth Proportional to 182.14, 251.15 and 142.73

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Solution

The fourth proportional to 182.14, 251.15 and 142.73 is: 196.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.14 : 251.15 = 142.73 : x
  2. Step 2: Convert to fraction form
    182.14/251.15 = 142.73/x
  3. Step 3: Cross multiply
    182.14x = 251.15 × 142.73
  4. Step 4: Simplify right side
    182.14x = 35,845.52
  5. Step 5: Solve for x
    x = 35,845.52/182.14
  6. Step 6: Final answer
    x = 196.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.