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Finding the Fourth Proportional to 173.36, 259.92 and 80.78

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Solution

The fourth proportional to 173.36, 259.92 and 80.78 is: 121.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.36 : 259.92 = 80.78 : x
  2. Step 2: Convert to fraction form
    173.36/259.92 = 80.78/x
  3. Step 3: Cross multiply
    173.36x = 259.92 × 80.78
  4. Step 4: Simplify right side
    173.36x = 20,996.34
  5. Step 5: Solve for x
    x = 20,996.34/173.36
  6. Step 6: Final answer
    x = 121.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.