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Finding the Fourth Proportional to 174.78, 262 and 77.19

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Solution

The fourth proportional to 174.78, 262 and 77.19 is: 115.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.78 : 262 = 77.19 : x
  2. Step 2: Convert to fraction form
    174.78/262 = 77.19/x
  3. Step 3: Cross multiply
    174.78x = 262 × 77.19
  4. Step 4: Simplify right side
    174.78x = 20,223.78
  5. Step 5: Solve for x
    x = 20,223.78/174.78
  6. Step 6: Final answer
    x = 115.71

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