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Finding the Fourth Proportional to 146, 201.50 and 101.80

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Solution

The fourth proportional to 146, 201.50 and 101.80 is: 140.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    146 : 201.50 = 101.80 : x
  2. Step 2: Convert to fraction form
    146/201.50 = 101.80/x
  3. Step 3: Cross multiply
    146x = 201.50 × 101.80
  4. Step 4: Simplify right side
    146x = 20,512.70
  5. Step 5: Solve for x
    x = 20,512.70/146
  6. Step 6: Final answer
    x = 140.50

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