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Finding the Fourth Proportional to 232.62, 320.60 and 170.37

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Solution

The fourth proportional to 232.62, 320.60 and 170.37 is: 234.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.62 : 320.60 = 170.37 : x
  2. Step 2: Convert to fraction form
    232.62/320.60 = 170.37/x
  3. Step 3: Cross multiply
    232.62x = 320.60 × 170.37
  4. Step 4: Simplify right side
    232.62x = 54,619.77
  5. Step 5: Solve for x
    x = 54,619.77/232.62
  6. Step 6: Final answer
    x = 234.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.