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Finding the Fourth Proportional to 173.92, 259.22 and 168.92

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Solution

The fourth proportional to 173.92, 259.22 and 168.92 is: 251.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.92 : 259.22 = 168.92 : x
  2. Step 2: Convert to fraction form
    173.92/259.22 = 168.92/x
  3. Step 3: Cross multiply
    173.92x = 259.22 × 168.92
  4. Step 4: Simplify right side
    173.92x = 43,787.44
  5. Step 5: Solve for x
    x = 43,787.44/173.92
  6. Step 6: Final answer
    x = 251.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.