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Finding the Fourth Proportional to 212.86, 319.20 and 75.94

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Solution

The fourth proportional to 212.86, 319.20 and 75.94 is: 113.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.86 : 319.20 = 75.94 : x
  2. Step 2: Convert to fraction form
    212.86/319.20 = 75.94/x
  3. Step 3: Cross multiply
    212.86x = 319.20 × 75.94
  4. Step 4: Simplify right side
    212.86x = 24,240.05
  5. Step 5: Solve for x
    x = 24,240.05/212.86
  6. Step 6: Final answer
    x = 113.88

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