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Finding the Fourth Proportional to 380.75, 571.11 and 106.85

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Solution

The fourth proportional to 380.75, 571.11 and 106.85 is: 160.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.75 : 571.11 = 106.85 : x
  2. Step 2: Convert to fraction form
    380.75/571.11 = 106.85/x
  3. Step 3: Cross multiply
    380.75x = 571.11 × 106.85
  4. Step 4: Simplify right side
    380.75x = 61,020.25
  5. Step 5: Solve for x
    x = 61,020.25/380.75
  6. Step 6: Final answer
    x = 160.27

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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.