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Finding the Fourth Proportional to 563, 844.64 and 178.25

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Solution

The fourth proportional to 563, 844.64 and 178.25 is: 267.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    563 : 844.64 = 178.25 : x
  2. Step 2: Convert to fraction form
    563/844.64 = 178.25/x
  3. Step 3: Cross multiply
    563x = 844.64 × 178.25
  4. Step 4: Simplify right side
    563x = 150,556.19
  5. Step 5: Solve for x
    x = 150,556.19/563
  6. Step 6: Final answer
    x = 267.42

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