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Finding the Fourth Proportional to 181.06, 249.75 and 144.20

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Solution

The fourth proportional to 181.06, 249.75 and 144.20 is: 198.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.06 : 249.75 = 144.20 : x
  2. Step 2: Convert to fraction form
    181.06/249.75 = 144.20/x
  3. Step 3: Cross multiply
    181.06x = 249.75 × 144.20
  4. Step 4: Simplify right side
    181.06x = 36,014.57
  5. Step 5: Solve for x
    x = 36,014.57/181.06
  6. Step 6: Final answer
    x = 198.91

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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.