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Finding the Fourth Proportional to 380.72, 571.11 and 106.83

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Solution

The fourth proportional to 380.72, 571.11 and 106.83 is: 160.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.72 : 571.11 = 106.83 : x
  2. Step 2: Convert to fraction form
    380.72/571.11 = 106.83/x
  3. Step 3: Cross multiply
    380.72x = 571.11 × 106.83
  4. Step 4: Simplify right side
    380.72x = 61,011.15
  5. Step 5: Solve for x
    x = 61,011.15/380.72
  6. Step 6: Final answer
    x = 160.25

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