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Finding the Fourth Proportional to 181.92, 250.90 and 138.28

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Solution

The fourth proportional to 181.92, 250.90 and 138.28 is: 190.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.92 : 250.90 = 138.28 : x
  2. Step 2: Convert to fraction form
    181.92/250.90 = 138.28/x
  3. Step 3: Cross multiply
    181.92x = 250.90 × 138.28
  4. Step 4: Simplify right side
    181.92x = 34,694.45
  5. Step 5: Solve for x
    x = 34,694.45/181.92
  6. Step 6: Final answer
    x = 190.71

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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.