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Finding the Fourth Proportional to 232.96, 321.68 and 164

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Solution

The fourth proportional to 232.96, 321.68 and 164 is: 226.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.96 : 321.68 = 164 : x
  2. Step 2: Convert to fraction form
    232.96/321.68 = 164/x
  3. Step 3: Cross multiply
    232.96x = 321.68 × 164
  4. Step 4: Simplify right side
    232.96x = 52,755.52
  5. Step 5: Solve for x
    x = 52,755.52/232.96
  6. Step 6: Final answer
    x = 226.46

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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.