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Finding the Fourth Proportional to 171.20, 234.52 and 170.72

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Solution

The fourth proportional to 171.20, 234.52 and 170.72 is: 233.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.20 : 234.52 = 170.72 : x
  2. Step 2: Convert to fraction form
    171.20/234.52 = 170.72/x
  3. Step 3: Cross multiply
    171.20x = 234.52 × 170.72
  4. Step 4: Simplify right side
    171.20x = 40,037.25
  5. Step 5: Solve for x
    x = 40,037.25/171.20
  6. Step 6: Final answer
    x = 233.86

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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.