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Finding the Fourth Proportional to 181.20, 249.78 and 150.03

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Solution

The fourth proportional to 181.20, 249.78 and 150.03 is: 206.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.20 : 249.78 = 150.03 : x
  2. Step 2: Convert to fraction form
    181.20/249.78 = 150.03/x
  3. Step 3: Cross multiply
    181.20x = 249.78 × 150.03
  4. Step 4: Simplify right side
    181.20x = 37,474.49
  5. Step 5: Solve for x
    x = 37,474.49/181.20
  6. Step 6: Final answer
    x = 206.81

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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.