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Finding the Fourth Proportional to 289.20, 399.11 and 164.86

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Solution

The fourth proportional to 289.20, 399.11 and 164.86 is: 227.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.20 : 399.11 = 164.86 : x
  2. Step 2: Convert to fraction form
    289.20/399.11 = 164.86/x
  3. Step 3: Cross multiply
    289.20x = 399.11 × 164.86
  4. Step 4: Simplify right side
    289.20x = 65,795.45
  5. Step 5: Solve for x
    x = 65,795.45/289.20
  6. Step 6: Final answer
    x = 227.51

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