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Finding the Fourth Proportional to 206.07, 308.64 and 185.79

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Solution

The fourth proportional to 206.07, 308.64 and 185.79 is: 278.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.07 : 308.64 = 185.79 : x
  2. Step 2: Convert to fraction form
    206.07/308.64 = 185.79/x
  3. Step 3: Cross multiply
    206.07x = 308.64 × 185.79
  4. Step 4: Simplify right side
    206.07x = 57,342.23
  5. Step 5: Solve for x
    x = 57,342.23/206.07
  6. Step 6: Final answer
    x = 278.27

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