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Finding the Fourth Proportional to 380.83, 571.23 and 137.41

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Solution

The fourth proportional to 380.83, 571.23 and 137.41 is: 206.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.83 : 571.23 = 137.41 : x
  2. Step 2: Convert to fraction form
    380.83/571.23 = 137.41/x
  3. Step 3: Cross multiply
    380.83x = 571.23 × 137.41
  4. Step 4: Simplify right side
    380.83x = 78,492.71
  5. Step 5: Solve for x
    x = 78,492.71/380.83
  6. Step 6: Final answer
    x = 206.11

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