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Finding the Fourth Proportional to 380.86, 571.23 and 120.85

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Solution

The fourth proportional to 380.86, 571.23 and 120.85 is: 181.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.86 : 571.23 = 120.85 : x
  2. Step 2: Convert to fraction form
    380.86/571.23 = 120.85/x
  3. Step 3: Cross multiply
    380.86x = 571.23 × 120.85
  4. Step 4: Simplify right side
    380.86x = 69,031.72
  5. Step 5: Solve for x
    x = 69,031.72/380.86
  6. Step 6: Final answer
    x = 181.25

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