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Finding the Fourth Proportional to 182.20, 272.94 and 163.99

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Solution

The fourth proportional to 182.20, 272.94 and 163.99 is: 245.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.20 : 272.94 = 163.99 : x
  2. Step 2: Convert to fraction form
    182.20/272.94 = 163.99/x
  3. Step 3: Cross multiply
    182.20x = 272.94 × 163.99
  4. Step 4: Simplify right side
    182.20x = 44,759.43
  5. Step 5: Solve for x
    x = 44,759.43/182.20
  6. Step 6: Final answer
    x = 245.66

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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.