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Finding the Fourth Proportional to 553.16, 829.72 and 142.30

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Solution

The fourth proportional to 553.16, 829.72 and 142.30 is: 213.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.16 : 829.72 = 142.30 : x
  2. Step 2: Convert to fraction form
    553.16/829.72 = 142.30/x
  3. Step 3: Cross multiply
    553.16x = 829.72 × 142.30
  4. Step 4: Simplify right side
    553.16x = 118,066.73
  5. Step 5: Solve for x
    x = 118,066.73/553.16
  6. Step 6: Final answer
    x = 213.44

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