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Finding the Fourth Proportional to 206.21, 309.35 and 97.94

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Solution

The fourth proportional to 206.21, 309.35 and 97.94 is: 146.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.21 : 309.35 = 97.94 : x
  2. Step 2: Convert to fraction form
    206.21/309.35 = 97.94/x
  3. Step 3: Cross multiply
    206.21x = 309.35 × 97.94
  4. Step 4: Simplify right side
    206.21x = 30,295.70
  5. Step 5: Solve for x
    x = 30,295.70/206.21
  6. Step 6: Final answer
    x = 146.92

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