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Finding the Fourth Proportional to 240.15, 360.23 and 77.84

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Solution

The fourth proportional to 240.15, 360.23 and 77.84 is: 116.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.15 : 360.23 = 77.84 : x
  2. Step 2: Convert to fraction form
    240.15/360.23 = 77.84/x
  3. Step 3: Cross multiply
    240.15x = 360.23 × 77.84
  4. Step 4: Simplify right side
    240.15x = 28,041.93
  5. Step 5: Solve for x
    x = 28,041.93/240.15
  6. Step 6: Final answer
    x = 116.77

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