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Finding the Fourth Proportional to 230.80, 346.20 and 102.64

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Solution

The fourth proportional to 230.80, 346.20 and 102.64 is: 153.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.80 : 346.20 = 102.64 : x
  2. Step 2: Convert to fraction form
    230.80/346.20 = 102.64/x
  3. Step 3: Cross multiply
    230.80x = 346.20 × 102.64
  4. Step 4: Simplify right side
    230.80x = 35,533.97
  5. Step 5: Solve for x
    x = 35,533.97/230.80
  6. Step 6: Final answer
    x = 153.96

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