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Finding the Fourth Proportional to 182.97, 252.61 and 141.44

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Solution

The fourth proportional to 182.97, 252.61 and 141.44 is: 195.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.97 : 252.61 = 141.44 : x
  2. Step 2: Convert to fraction form
    182.97/252.61 = 141.44/x
  3. Step 3: Cross multiply
    182.97x = 252.61 × 141.44
  4. Step 4: Simplify right side
    182.97x = 35,729.16
  5. Step 5: Solve for x
    x = 35,729.16/182.97
  6. Step 6: Final answer
    x = 195.27

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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.