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Finding the Fourth Proportional to 231.86, 347.76 and 77.78

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Solution

The fourth proportional to 231.86, 347.76 and 77.78 is: 116.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.86 : 347.76 = 77.78 : x
  2. Step 2: Convert to fraction form
    231.86/347.76 = 77.78/x
  3. Step 3: Cross multiply
    231.86x = 347.76 × 77.78
  4. Step 4: Simplify right side
    231.86x = 27,048.77
  5. Step 5: Solve for x
    x = 27,048.77/231.86
  6. Step 6: Final answer
    x = 116.66

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