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Finding the Fourth Proportional to 380.75, 570.96 and 137.21

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Solution

The fourth proportional to 380.75, 570.96 and 137.21 is: 205.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.75 : 570.96 = 137.21 : x
  2. Step 2: Convert to fraction form
    380.75/570.96 = 137.21/x
  3. Step 3: Cross multiply
    380.75x = 570.96 × 137.21
  4. Step 4: Simplify right side
    380.75x = 78,338.57
  5. Step 5: Solve for x
    x = 78,338.57/380.75
  6. Step 6: Final answer
    x = 205.75

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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.