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Finding the Fourth Proportional to 380.78, 571.18 and 137.30

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Solution

The fourth proportional to 380.78, 571.18 and 137.30 is: 205.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.78 : 571.18 = 137.30 : x
  2. Step 2: Convert to fraction form
    380.78/571.18 = 137.30/x
  3. Step 3: Cross multiply
    380.78x = 571.18 × 137.30
  4. Step 4: Simplify right side
    380.78x = 78,423.01
  5. Step 5: Solve for x
    x = 78,423.01/380.78
  6. Step 6: Final answer
    x = 205.95

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