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Finding the Fourth Proportional to 181.22, 250.16 and 122.24

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Solution

The fourth proportional to 181.22, 250.16 and 122.24 is: 168.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.22 : 250.16 = 122.24 : x
  2. Step 2: Convert to fraction form
    181.22/250.16 = 122.24/x
  3. Step 3: Cross multiply
    181.22x = 250.16 × 122.24
  4. Step 4: Simplify right side
    181.22x = 30,579.57
  5. Step 5: Solve for x
    x = 30,579.57/181.22
  6. Step 6: Final answer
    x = 168.75

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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.