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Finding the Fourth Proportional to 312.14, 430.75 and 201.83

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Solution

The fourth proportional to 312.14, 430.75 and 201.83 is: 278.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.14 : 430.75 = 201.83 : x
  2. Step 2: Convert to fraction form
    312.14/430.75 = 201.83/x
  3. Step 3: Cross multiply
    312.14x = 430.75 × 201.83
  4. Step 4: Simplify right side
    312.14x = 86,936.37
  5. Step 5: Solve for x
    x = 86,936.37/312.14
  6. Step 6: Final answer
    x = 278.52

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