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Finding the Fourth Proportional to 171.32, 258.49 and 163.82

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Solution

The fourth proportional to 171.32, 258.49 and 163.82 is: 247.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.32 : 258.49 = 163.82 : x
  2. Step 2: Convert to fraction form
    171.32/258.49 = 163.82/x
  3. Step 3: Cross multiply
    171.32x = 258.49 × 163.82
  4. Step 4: Simplify right side
    171.32x = 42,346.68
  5. Step 5: Solve for x
    x = 42,346.68/171.32
  6. Step 6: Final answer
    x = 247.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.