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Finding the Fourth Proportional to 378.08, 567.28 and 161.84

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Solution

The fourth proportional to 378.08, 567.28 and 161.84 is: 242.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.08 : 567.28 = 161.84 : x
  2. Step 2: Convert to fraction form
    378.08/567.28 = 161.84/x
  3. Step 3: Cross multiply
    378.08x = 567.28 × 161.84
  4. Step 4: Simplify right side
    378.08x = 91,808.60
  5. Step 5: Solve for x
    x = 91,808.60/378.08
  6. Step 6: Final answer
    x = 242.83

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