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Finding the Fourth Proportional to 182, 251.17 and 104.38

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Solution

The fourth proportional to 182, 251.17 and 104.38 is: 144.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    182 : 251.17 = 104.38 : x
  2. Step 2: Convert to fraction form
    182/251.17 = 104.38/x
  3. Step 3: Cross multiply
    182x = 251.17 × 104.38
  4. Step 4: Simplify right side
    182x = 26,217.12
  5. Step 5: Solve for x
    x = 26,217.12/182
  6. Step 6: Final answer
    x = 144.05

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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.