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Finding the Fourth Proportional to 289.20, 433.64 and 198

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Solution

The fourth proportional to 289.20, 433.64 and 198 is: 296.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.20 : 433.64 = 198 : x
  2. Step 2: Convert to fraction form
    289.20/433.64 = 198/x
  3. Step 3: Cross multiply
    289.20x = 433.64 × 198
  4. Step 4: Simplify right side
    289.20x = 85,859.73
  5. Step 5: Solve for x
    x = 85,859.73/289.20
  6. Step 6: Final answer
    x = 296.89

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