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Finding the Fourth Proportional to 170.26, 255.46 and 143.14

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Solution

The fourth proportional to 170.26, 255.46 and 143.14 is: 214.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.26 : 255.46 = 143.14 : x
  2. Step 2: Convert to fraction form
    170.26/255.46 = 143.14/x
  3. Step 3: Cross multiply
    170.26x = 255.46 × 143.14
  4. Step 4: Simplify right side
    170.26x = 36,566.54
  5. Step 5: Solve for x
    x = 36,566.54/170.26
  6. Step 6: Final answer
    x = 214.77

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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.