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Finding the Fourth Proportional to 212.70, 319.08 and 75.81

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Solution

The fourth proportional to 212.70, 319.08 and 75.81 is: 113.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.70 : 319.08 = 75.81 : x
  2. Step 2: Convert to fraction form
    212.70/319.08 = 75.81/x
  3. Step 3: Cross multiply
    212.70x = 319.08 × 75.81
  4. Step 4: Simplify right side
    212.70x = 24,189.45
  5. Step 5: Solve for x
    x = 24,189.45/212.70
  6. Step 6: Final answer
    x = 113.73

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