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Finding the Fourth Proportional to 170.28, 255.10 and 137.68

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Solution

The fourth proportional to 170.28, 255.10 and 137.68 is: 206.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.28 : 255.10 = 137.68 : x
  2. Step 2: Convert to fraction form
    170.28/255.10 = 137.68/x
  3. Step 3: Cross multiply
    170.28x = 255.10 × 137.68
  4. Step 4: Simplify right side
    170.28x = 35,122.17
  5. Step 5: Solve for x
    x = 35,122.17/170.28
  6. Step 6: Final answer
    x = 206.26

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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.