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Finding the Fourth Proportional to 205.22, 308.12 and 135.92

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Solution

The fourth proportional to 205.22, 308.12 and 135.92 is: 204.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.22 : 308.12 = 135.92 : x
  2. Step 2: Convert to fraction form
    205.22/308.12 = 135.92/x
  3. Step 3: Cross multiply
    205.22x = 308.12 × 135.92
  4. Step 4: Simplify right side
    205.22x = 41,877.45
  5. Step 5: Solve for x
    x = 41,877.45/205.22
  6. Step 6: Final answer
    x = 204.07

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