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Finding the Fourth Proportional to 182.12, 272.59 and 113.69

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Solution

The fourth proportional to 182.12, 272.59 and 113.69 is: 170.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.12 : 272.59 = 113.69 : x
  2. Step 2: Convert to fraction form
    182.12/272.59 = 113.69/x
  3. Step 3: Cross multiply
    182.12x = 272.59 × 113.69
  4. Step 4: Simplify right side
    182.12x = 30,991.15
  5. Step 5: Solve for x
    x = 30,991.15/182.12
  6. Step 6: Final answer
    x = 170.17

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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.