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Finding the Fourth Proportional to 214.88, 323.00 and 205.77

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Solution

The fourth proportional to 214.88, 323.00 and 205.77 is: 309.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.88 : 323.00 = 205.77 : x
  2. Step 2: Convert to fraction form
    214.88/323.00 = 205.77/x
  3. Step 3: Cross multiply
    214.88x = 323.00 × 205.77
  4. Step 4: Simplify right side
    214.88x = 66,463.10
  5. Step 5: Solve for x
    x = 66,463.10/214.88
  6. Step 6: Final answer
    x = 309.31

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