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Finding the Fourth Proportional to 378.17, 566.80 and 161.60

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Solution

The fourth proportional to 378.17, 566.80 and 161.60 is: 242.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.17 : 566.80 = 161.60 : x
  2. Step 2: Convert to fraction form
    378.17/566.80 = 161.60/x
  3. Step 3: Cross multiply
    378.17x = 566.80 × 161.60
  4. Step 4: Simplify right side
    378.17x = 91,591.64
  5. Step 5: Solve for x
    x = 91,591.64/378.17
  6. Step 6: Final answer
    x = 242.20

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