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Finding the Fourth Proportional to 170.18, 255.61 and 161.29

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Solution

The fourth proportional to 170.18, 255.61 and 161.29 is: 242.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.18 : 255.61 = 161.29 : x
  2. Step 2: Convert to fraction form
    170.18/255.61 = 161.29/x
  3. Step 3: Cross multiply
    170.18x = 255.61 × 161.29
  4. Step 4: Simplify right side
    170.18x = 41,226.95
  5. Step 5: Solve for x
    x = 41,226.95/170.18
  6. Step 6: Final answer
    x = 242.26

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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.