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Finding the Fourth Proportional to 230.81, 345.98 and 109.16

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Solution

The fourth proportional to 230.81, 345.98 and 109.16 is: 163.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.81 : 345.98 = 109.16 : x
  2. Step 2: Convert to fraction form
    230.81/345.98 = 109.16/x
  3. Step 3: Cross multiply
    230.81x = 345.98 × 109.16
  4. Step 4: Simplify right side
    230.81x = 37,767.18
  5. Step 5: Solve for x
    x = 37,767.18/230.81
  6. Step 6: Final answer
    x = 163.63

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