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Finding the Fourth Proportional to 206.54, 309.94 and 84.78

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Solution

The fourth proportional to 206.54, 309.94 and 84.78 is: 127.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.54 : 309.94 = 84.78 : x
  2. Step 2: Convert to fraction form
    206.54/309.94 = 84.78/x
  3. Step 3: Cross multiply
    206.54x = 309.94 × 84.78
  4. Step 4: Simplify right side
    206.54x = 26,276.71
  5. Step 5: Solve for x
    x = 26,276.71/206.54
  6. Step 6: Final answer
    x = 127.22

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