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Finding the Fourth Proportional to 364.28, 546.40 and 158.78

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Solution

The fourth proportional to 364.28, 546.40 and 158.78 is: 238.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.28 : 546.40 = 158.78 : x
  2. Step 2: Convert to fraction form
    364.28/546.40 = 158.78/x
  3. Step 3: Cross multiply
    364.28x = 546.40 × 158.78
  4. Step 4: Simplify right side
    364.28x = 86,757.39
  5. Step 5: Solve for x
    x = 86,757.39/364.28
  6. Step 6: Final answer
    x = 238.16

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