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Finding the Fourth Proportional to 566.16, 849.36 and 200.92

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Solution

The fourth proportional to 566.16, 849.36 and 200.92 is: 301.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.16 : 849.36 = 200.92 : x
  2. Step 2: Convert to fraction form
    566.16/849.36 = 200.92/x
  3. Step 3: Cross multiply
    566.16x = 849.36 × 200.92
  4. Step 4: Simplify right side
    566.16x = 170,653.41
  5. Step 5: Solve for x
    x = 170,653.41/566.16
  6. Step 6: Final answer
    x = 301.42

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