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Finding the Fourth Proportional to 205.92, 309.08 and 97.79

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Solution

The fourth proportional to 205.92, 309.08 and 97.79 is: 146.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.92 : 309.08 = 97.79 : x
  2. Step 2: Convert to fraction form
    205.92/309.08 = 97.79/x
  3. Step 3: Cross multiply
    205.92x = 309.08 × 97.79
  4. Step 4: Simplify right side
    205.92x = 30,223.63
  5. Step 5: Solve for x
    x = 30,223.63/205.92
  6. Step 6: Final answer
    x = 146.77

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