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Finding the Fourth Proportional to 174.83, 262.05 and 97.82

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Solution

The fourth proportional to 174.83, 262.05 and 97.82 is: 146.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.83 : 262.05 = 97.82 : x
  2. Step 2: Convert to fraction form
    174.83/262.05 = 97.82/x
  3. Step 3: Cross multiply
    174.83x = 262.05 × 97.82
  4. Step 4: Simplify right side
    174.83x = 25,632.42
  5. Step 5: Solve for x
    x = 25,632.42/174.83
  6. Step 6: Final answer
    x = 146.62

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