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Finding the Fourth Proportional to 274.73, 412.15 and 82.35

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Solution

The fourth proportional to 274.73, 412.15 and 82.35 is: 123.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.73 : 412.15 = 82.35 : x
  2. Step 2: Convert to fraction form
    274.73/412.15 = 82.35/x
  3. Step 3: Cross multiply
    274.73x = 412.15 × 82.35
  4. Step 4: Simplify right side
    274.73x = 33,938.49
  5. Step 5: Solve for x
    x = 33,938.49/274.73
  6. Step 6: Final answer
    x = 123.54

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