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Finding the Fourth Proportional to 170.37, 254.25 and 169.32

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Solution

The fourth proportional to 170.37, 254.25 and 169.32 is: 252.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.37 : 254.25 = 169.32 : x
  2. Step 2: Convert to fraction form
    170.37/254.25 = 169.32/x
  3. Step 3: Cross multiply
    170.37x = 254.25 × 169.32
  4. Step 4: Simplify right side
    170.37x = 43,049.61
  5. Step 5: Solve for x
    x = 43,049.61/170.37
  6. Step 6: Final answer
    x = 252.68

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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.