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Finding the Fourth Proportional to 206.00, 308.53 and 178.21

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Solution

The fourth proportional to 206.00, 308.53 and 178.21 is: 266.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.00 : 308.53 = 178.21 : x
  2. Step 2: Convert to fraction form
    206.00/308.53 = 178.21/x
  3. Step 3: Cross multiply
    206.00x = 308.53 × 178.21
  4. Step 4: Simplify right side
    206.00x = 54,982.58
  5. Step 5: Solve for x
    x = 54,982.58/206.00
  6. Step 6: Final answer
    x = 266.91

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