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Finding the Fourth Proportional to 182.16, 273.42 and 113.76

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Solution

The fourth proportional to 182.16, 273.42 and 113.76 is: 170.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.16 : 273.42 = 113.76 : x
  2. Step 2: Convert to fraction form
    182.16/273.42 = 113.76/x
  3. Step 3: Cross multiply
    182.16x = 273.42 × 113.76
  4. Step 4: Simplify right side
    182.16x = 31,104.26
  5. Step 5: Solve for x
    x = 31,104.26/182.16
  6. Step 6: Final answer
    x = 170.75

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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.