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Finding the Fourth Proportional to 171.03, 234.61 and 169.57

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Solution

The fourth proportional to 171.03, 234.61 and 169.57 is: 232.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.03 : 234.61 = 169.57 : x
  2. Step 2: Convert to fraction form
    171.03/234.61 = 169.57/x
  3. Step 3: Cross multiply
    171.03x = 234.61 × 169.57
  4. Step 4: Simplify right side
    171.03x = 39,782.82
  5. Step 5: Solve for x
    x = 39,782.82/171.03
  6. Step 6: Final answer
    x = 232.61

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.