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Finding the Fourth Proportional to 381.28, 571.92 and 208.12

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Solution

The fourth proportional to 381.28, 571.92 and 208.12 is: 312.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.28 : 571.92 = 208.12 : x
  2. Step 2: Convert to fraction form
    381.28/571.92 = 208.12/x
  3. Step 3: Cross multiply
    381.28x = 571.92 × 208.12
  4. Step 4: Simplify right side
    381.28x = 119,027.99
  5. Step 5: Solve for x
    x = 119,027.99/381.28
  6. Step 6: Final answer
    x = 312.18

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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.