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Finding the Fourth Proportional to 381.08, 571.10 and 185.96

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Solution

The fourth proportional to 381.08, 571.10 and 185.96 is: 278.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.08 : 571.10 = 185.96 : x
  2. Step 2: Convert to fraction form
    381.08/571.10 = 185.96/x
  3. Step 3: Cross multiply
    381.08x = 571.10 × 185.96
  4. Step 4: Simplify right side
    381.08x = 106,202.25
  5. Step 5: Solve for x
    x = 106,202.25/381.08
  6. Step 6: Final answer
    x = 278.69

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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.