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Finding the Fourth Proportional to 170.49, 255.47 and 112.65

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Solution

The fourth proportional to 170.49, 255.47 and 112.65 is: 168.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.49 : 255.47 = 112.65 : x
  2. Step 2: Convert to fraction form
    170.49/255.47 = 112.65/x
  3. Step 3: Cross multiply
    170.49x = 255.47 × 112.65
  4. Step 4: Simplify right side
    170.49x = 28,778.70
  5. Step 5: Solve for x
    x = 28,778.70/170.49
  6. Step 6: Final answer
    x = 168.80

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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.