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Finding the Fourth Proportional to 380.92, 571.64 and 137.44

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Solution

The fourth proportional to 380.92, 571.64 and 137.44 is: 206.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.92 : 571.64 = 137.44 : x
  2. Step 2: Convert to fraction form
    380.92/571.64 = 137.44/x
  3. Step 3: Cross multiply
    380.92x = 571.64 × 137.44
  4. Step 4: Simplify right side
    380.92x = 78,566.20
  5. Step 5: Solve for x
    x = 78,566.20/380.92
  6. Step 6: Final answer
    x = 206.25

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