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Finding the Fourth Proportional to 146.52, 201.96 and 102.78

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Solution

The fourth proportional to 146.52, 201.96 and 102.78 is: 141.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.52 : 201.96 = 102.78 : x
  2. Step 2: Convert to fraction form
    146.52/201.96 = 102.78/x
  3. Step 3: Cross multiply
    146.52x = 201.96 × 102.78
  4. Step 4: Simplify right side
    146.52x = 20,757.45
  5. Step 5: Solve for x
    x = 20,757.45/146.52
  6. Step 6: Final answer
    x = 141.67

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