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Finding the Fourth Proportional to 182.29, 251.53 and 108.62

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Solution

The fourth proportional to 182.29, 251.53 and 108.62 is: 149.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.29 : 251.53 = 108.62 : x
  2. Step 2: Convert to fraction form
    182.29/251.53 = 108.62/x
  3. Step 3: Cross multiply
    182.29x = 251.53 × 108.62
  4. Step 4: Simplify right side
    182.29x = 27,321.19
  5. Step 5: Solve for x
    x = 27,321.19/182.29
  6. Step 6: Final answer
    x = 149.88

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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.