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Finding the Fourth Proportional to 311.78, 466.99 and 201.83

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Solution

The fourth proportional to 311.78, 466.99 and 201.83 is: 302.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.78 : 466.99 = 201.83 : x
  2. Step 2: Convert to fraction form
    311.78/466.99 = 201.83/x
  3. Step 3: Cross multiply
    311.78x = 466.99 × 201.83
  4. Step 4: Simplify right side
    311.78x = 94,249.75
  5. Step 5: Solve for x
    x = 94,249.75/311.78
  6. Step 6: Final answer
    x = 302.29

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