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Finding the Fourth Proportional to 380.77, 571.14 and 149.49

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Solution

The fourth proportional to 380.77, 571.14 and 149.49 is: 224.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.77 : 571.14 = 149.49 : x
  2. Step 2: Convert to fraction form
    380.77/571.14 = 149.49/x
  3. Step 3: Cross multiply
    380.77x = 571.14 × 149.49
  4. Step 4: Simplify right side
    380.77x = 85,380.14
  5. Step 5: Solve for x
    x = 85,380.14/380.77
  6. Step 6: Final answer
    x = 224.23

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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.