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Finding the Fourth Proportional to 380.75, 571.19 and 137.23

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Solution

The fourth proportional to 380.75, 571.19 and 137.23 is: 205.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.75 : 571.19 = 137.23 : x
  2. Step 2: Convert to fraction form
    380.75/571.19 = 137.23/x
  3. Step 3: Cross multiply
    380.75x = 571.19 × 137.23
  4. Step 4: Simplify right side
    380.75x = 78,382.29
  5. Step 5: Solve for x
    x = 78,382.29/380.75
  6. Step 6: Final answer
    x = 205.87

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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.