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Finding the Fourth Proportional to 182.67, 252.09 and 108.96

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Solution

The fourth proportional to 182.67, 252.09 and 108.96 is: 150.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.67 : 252.09 = 108.96 : x
  2. Step 2: Convert to fraction form
    182.67/252.09 = 108.96/x
  3. Step 3: Cross multiply
    182.67x = 252.09 × 108.96
  4. Step 4: Simplify right side
    182.67x = 27,467.73
  5. Step 5: Solve for x
    x = 27,467.73/182.67
  6. Step 6: Final answer
    x = 150.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.