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Finding the Fourth Proportional to 240.19, 360.05 and 77.76

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Solution

The fourth proportional to 240.19, 360.05 and 77.76 is: 116.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.19 : 360.05 = 77.76 : x
  2. Step 2: Convert to fraction form
    240.19/360.05 = 77.76/x
  3. Step 3: Cross multiply
    240.19x = 360.05 × 77.76
  4. Step 4: Simplify right side
    240.19x = 27,997.49
  5. Step 5: Solve for x
    x = 27,997.49/240.19
  6. Step 6: Final answer
    x = 116.56

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