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Finding the Fourth Proportional to 205.13, 308.18 and 171.64

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Solution

The fourth proportional to 205.13, 308.18 and 171.64 is: 257.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.13 : 308.18 = 171.64 : x
  2. Step 2: Convert to fraction form
    205.13/308.18 = 171.64/x
  3. Step 3: Cross multiply
    205.13x = 308.18 × 171.64
  4. Step 4: Simplify right side
    205.13x = 52,896.83
  5. Step 5: Solve for x
    x = 52,896.83/205.13
  6. Step 6: Final answer
    x = 257.87

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