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Finding the Fourth Proportional to 150.82, 226.23 and 149.38

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Solution

The fourth proportional to 150.82, 226.23 and 149.38 is: 224.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.82 : 226.23 = 149.38 : x
  2. Step 2: Convert to fraction form
    150.82/226.23 = 149.38/x
  3. Step 3: Cross multiply
    150.82x = 226.23 × 149.38
  4. Step 4: Simplify right side
    150.82x = 33,794.24
  5. Step 5: Solve for x
    x = 33,794.24/150.82
  6. Step 6: Final answer
    x = 224.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.