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Finding the Fourth Proportional to 381.11, 571.05 and 175.37

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Solution

The fourth proportional to 381.11, 571.05 and 175.37 is: 262.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.11 : 571.05 = 175.37 : x
  2. Step 2: Convert to fraction form
    381.11/571.05 = 175.37/x
  3. Step 3: Cross multiply
    381.11x = 571.05 × 175.37
  4. Step 4: Simplify right side
    381.11x = 100,142.18
  5. Step 5: Solve for x
    x = 100,142.18/381.11
  6. Step 6: Final answer
    x = 262.77

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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.