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Finding the Fourth Proportional to 262, 361.23 and 209.72

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Solution

The fourth proportional to 262, 361.23 and 209.72 is: 289.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    262 : 361.23 = 209.72 : x
  2. Step 2: Convert to fraction form
    262/361.23 = 209.72/x
  3. Step 3: Cross multiply
    262x = 361.23 × 209.72
  4. Step 4: Simplify right side
    262x = 75,757.16
  5. Step 5: Solve for x
    x = 75,757.16/262
  6. Step 6: Final answer
    x = 289.15

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