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Finding the Fourth Proportional to 238.13, 357.19 and 75.82

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Solution

The fourth proportional to 238.13, 357.19 and 75.82 is: 113.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.13 : 357.19 = 75.82 : x
  2. Step 2: Convert to fraction form
    238.13/357.19 = 75.82/x
  3. Step 3: Cross multiply
    238.13x = 357.19 × 75.82
  4. Step 4: Simplify right side
    238.13x = 27,082.40
  5. Step 5: Solve for x
    x = 27,082.40/238.13
  6. Step 6: Final answer
    x = 113.73

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