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Finding the Fourth Proportional to 364.28, 546.39 and 120.80

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Solution

The fourth proportional to 364.28, 546.39 and 120.80 is: 181.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.28 : 546.39 = 120.80 : x
  2. Step 2: Convert to fraction form
    364.28/546.39 = 120.80/x
  3. Step 3: Cross multiply
    364.28x = 546.39 × 120.80
  4. Step 4: Simplify right side
    364.28x = 66,001.18
  5. Step 5: Solve for x
    x = 66,001.18/364.28
  6. Step 6: Final answer
    x = 181.19

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