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Finding the Fourth Proportional to 381.11, 571.83 and 149.93

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Solution

The fourth proportional to 381.11, 571.83 and 149.93 is: 224.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.11 : 571.83 = 149.93 : x
  2. Step 2: Convert to fraction form
    381.11/571.83 = 149.93/x
  3. Step 3: Cross multiply
    381.11x = 571.83 × 149.93
  4. Step 4: Simplify right side
    381.11x = 85,735.90
  5. Step 5: Solve for x
    x = 85,735.90/381.11
  6. Step 6: Final answer
    x = 224.97

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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.