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Finding the Fourth Proportional to 181.01, 249.67 and 122.69

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Solution

The fourth proportional to 181.01, 249.67 and 122.69 is: 169.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.01 : 249.67 = 122.69 : x
  2. Step 2: Convert to fraction form
    181.01/249.67 = 122.69/x
  3. Step 3: Cross multiply
    181.01x = 249.67 × 122.69
  4. Step 4: Simplify right side
    181.01x = 30,632.01
  5. Step 5: Solve for x
    x = 30,632.01/181.01
  6. Step 6: Final answer
    x = 169.23

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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.