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Finding the Fourth Proportional to 205.94, 308.79 and 97.80

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Solution

The fourth proportional to 205.94, 308.79 and 97.80 is: 146.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.94 : 308.79 = 97.80 : x
  2. Step 2: Convert to fraction form
    205.94/308.79 = 97.80/x
  3. Step 3: Cross multiply
    205.94x = 308.79 × 97.80
  4. Step 4: Simplify right side
    205.94x = 30,199.66
  5. Step 5: Solve for x
    x = 30,199.66/205.94
  6. Step 6: Final answer
    x = 146.65

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