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Finding the Fourth Proportional to 342.54, 513.26 and 180

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Solution

The fourth proportional to 342.54, 513.26 and 180 is: 269.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.54 : 513.26 = 180 : x
  2. Step 2: Convert to fraction form
    342.54/513.26 = 180/x
  3. Step 3: Cross multiply
    342.54x = 513.26 × 180
  4. Step 4: Simplify right side
    342.54x = 92,386.80
  5. Step 5: Solve for x
    x = 92,386.80/342.54
  6. Step 6: Final answer
    x = 269.71

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