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Finding the Fourth Proportional to 173.88, 260.82 and 77.76

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Solution

The fourth proportional to 173.88, 260.82 and 77.76 is: 116.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.88 : 260.82 = 77.76 : x
  2. Step 2: Convert to fraction form
    173.88/260.82 = 77.76/x
  3. Step 3: Cross multiply
    173.88x = 260.82 × 77.76
  4. Step 4: Simplify right side
    173.88x = 20,281.36
  5. Step 5: Solve for x
    x = 20,281.36/173.88
  6. Step 6: Final answer
    x = 116.64

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