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Finding the Fourth Proportional to 342.03, 512.64 and 180.03

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Solution

The fourth proportional to 342.03, 512.64 and 180.03 is: 269.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.03 : 512.64 = 180.03 : x
  2. Step 2: Convert to fraction form
    342.03/512.64 = 180.03/x
  3. Step 3: Cross multiply
    342.03x = 512.64 × 180.03
  4. Step 4: Simplify right side
    342.03x = 92,290.58
  5. Step 5: Solve for x
    x = 92,290.58/342.03
  6. Step 6: Final answer
    x = 269.83

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