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Finding the Fourth Proportional to 170.62, 256.09 and 163.69

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Solution

The fourth proportional to 170.62, 256.09 and 163.69 is: 245.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.62 : 256.09 = 163.69 : x
  2. Step 2: Convert to fraction form
    170.62/256.09 = 163.69/x
  3. Step 3: Cross multiply
    170.62x = 256.09 × 163.69
  4. Step 4: Simplify right side
    170.62x = 41,918.09
  5. Step 5: Solve for x
    x = 41,918.09/170.62
  6. Step 6: Final answer
    x = 245.69

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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.