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Finding the Fourth Proportional to 540.24, 809.88 and 198.16

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Solution

The fourth proportional to 540.24, 809.88 and 198.16 is: 297.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.24 : 809.88 = 198.16 : x
  2. Step 2: Convert to fraction form
    540.24/809.88 = 198.16/x
  3. Step 3: Cross multiply
    540.24x = 809.88 × 198.16
  4. Step 4: Simplify right side
    540.24x = 160,485.82
  5. Step 5: Solve for x
    x = 160,485.82/540.24
  6. Step 6: Final answer
    x = 297.06

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