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Finding the Fourth Proportional to 192.56, 287.55 and 169.24

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Solution

The fourth proportional to 192.56, 287.55 and 169.24 is: 252.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.56 : 287.55 = 169.24 : x
  2. Step 2: Convert to fraction form
    192.56/287.55 = 169.24/x
  3. Step 3: Cross multiply
    192.56x = 287.55 × 169.24
  4. Step 4: Simplify right side
    192.56x = 48,664.96
  5. Step 5: Solve for x
    x = 48,664.96/192.56
  6. Step 6: Final answer
    x = 252.73

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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.