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Finding the Fourth Proportional to 381.09, 571.87 and 149.94

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Solution

The fourth proportional to 381.09, 571.87 and 149.94 is: 225.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.09 : 571.87 = 149.94 : x
  2. Step 2: Convert to fraction form
    381.09/571.87 = 149.94/x
  3. Step 3: Cross multiply
    381.09x = 571.87 × 149.94
  4. Step 4: Simplify right side
    381.09x = 85,747.73
  5. Step 5: Solve for x
    x = 85,747.73/381.09
  6. Step 6: Final answer
    x = 225.01

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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.