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Finding the Fourth Proportional to 380.77, 571.14 and 149.70

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Solution

The fourth proportional to 380.77, 571.14 and 149.70 is: 224.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.77 : 571.14 = 149.70 : x
  2. Step 2: Convert to fraction form
    380.77/571.14 = 149.70/x
  3. Step 3: Cross multiply
    380.77x = 571.14 × 149.70
  4. Step 4: Simplify right side
    380.77x = 85,499.66
  5. Step 5: Solve for x
    x = 85,499.66/380.77
  6. Step 6: Final answer
    x = 224.54

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