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Finding the Fourth Proportional to 182.12, 272.49 and 109.04

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Solution

The fourth proportional to 182.12, 272.49 and 109.04 is: 163.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.12 : 272.49 = 109.04 : x
  2. Step 2: Convert to fraction form
    182.12/272.49 = 109.04/x
  3. Step 3: Cross multiply
    182.12x = 272.49 × 109.04
  4. Step 4: Simplify right side
    182.12x = 29,712.31
  5. Step 5: Solve for x
    x = 29,712.31/182.12
  6. Step 6: Final answer
    x = 163.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.