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Finding the Fourth Proportional to 534.82, 802.16 and 169.64

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Solution

The fourth proportional to 534.82, 802.16 and 169.64 is: 254.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.82 : 802.16 = 169.64 : x
  2. Step 2: Convert to fraction form
    534.82/802.16 = 169.64/x
  3. Step 3: Cross multiply
    534.82x = 802.16 × 169.64
  4. Step 4: Simplify right side
    534.82x = 136,078.42
  5. Step 5: Solve for x
    x = 136,078.42/534.82
  6. Step 6: Final answer
    x = 254.44

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