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Finding the Fourth Proportional to 205.83, 308.75 and 97.61

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Solution

The fourth proportional to 205.83, 308.75 and 97.61 is: 146.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.83 : 308.75 = 97.61 : x
  2. Step 2: Convert to fraction form
    205.83/308.75 = 97.61/x
  3. Step 3: Cross multiply
    205.83x = 308.75 × 97.61
  4. Step 4: Simplify right side
    205.83x = 30,135.06
  5. Step 5: Solve for x
    x = 30,135.06/205.83
  6. Step 6: Final answer
    x = 146.41

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