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Finding the Fourth Proportional to 170.39, 255 and 109.47

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Solution

The fourth proportional to 170.39, 255 and 109.47 is: 163.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.39 : 255 = 109.47 : x
  2. Step 2: Convert to fraction form
    170.39/255 = 109.47/x
  3. Step 3: Cross multiply
    170.39x = 255 × 109.47
  4. Step 4: Simplify right side
    170.39x = 27,914.85
  5. Step 5: Solve for x
    x = 27,914.85/170.39
  6. Step 6: Final answer
    x = 163.83

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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.