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Finding the Fourth Proportional to 205.82, 284.00 and 118.47

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Solution

The fourth proportional to 205.82, 284.00 and 118.47 is: 163.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.82 : 284.00 = 118.47 : x
  2. Step 2: Convert to fraction form
    205.82/284.00 = 118.47/x
  3. Step 3: Cross multiply
    205.82x = 284.00 × 118.47
  4. Step 4: Simplify right side
    205.82x = 33,644.89
  5. Step 5: Solve for x
    x = 33,644.89/205.82
  6. Step 6: Final answer
    x = 163.47

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