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Finding the Fourth Proportional to 173.28, 259.92 and 168.48

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Solution

The fourth proportional to 173.28, 259.92 and 168.48 is: 252.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.28 : 259.92 = 168.48 : x
  2. Step 2: Convert to fraction form
    173.28/259.92 = 168.48/x
  3. Step 3: Cross multiply
    173.28x = 259.92 × 168.48
  4. Step 4: Simplify right side
    173.28x = 43,791.32
  5. Step 5: Solve for x
    x = 43,791.32/173.28
  6. Step 6: Final answer
    x = 252.72

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Why These Related Problems?

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