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Finding the Fourth Proportional to 181.50, 249.61 and 144.22

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Solution

The fourth proportional to 181.50, 249.61 and 144.22 is: 198.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.50 : 249.61 = 144.22 : x
  2. Step 2: Convert to fraction form
    181.50/249.61 = 144.22/x
  3. Step 3: Cross multiply
    181.50x = 249.61 × 144.22
  4. Step 4: Simplify right side
    181.50x = 35,998.75
  5. Step 5: Solve for x
    x = 35,998.75/181.50
  6. Step 6: Final answer
    x = 198.34

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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.