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Finding the Fourth Proportional to 380.75, 571.23 and 124.25

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Solution

The fourth proportional to 380.75, 571.23 and 124.25 is: 186.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.75 : 571.23 = 124.25 : x
  2. Step 2: Convert to fraction form
    380.75/571.23 = 124.25/x
  3. Step 3: Cross multiply
    380.75x = 571.23 × 124.25
  4. Step 4: Simplify right side
    380.75x = 70,975.33
  5. Step 5: Solve for x
    x = 70,975.33/380.75
  6. Step 6: Final answer
    x = 186.41

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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.