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Finding the Fourth Proportional to 262.23, 393.64 and 208.16

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Solution

The fourth proportional to 262.23, 393.64 and 208.16 is: 312.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.23 : 393.64 = 208.16 : x
  2. Step 2: Convert to fraction form
    262.23/393.64 = 208.16/x
  3. Step 3: Cross multiply
    262.23x = 393.64 × 208.16
  4. Step 4: Simplify right side
    262.23x = 81,940.10
  5. Step 5: Solve for x
    x = 81,940.10/262.23
  6. Step 6: Final answer
    x = 312.47

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