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Finding the Fourth Proportional to 232.25, 320.49 and 166.86

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Solution

The fourth proportional to 232.25, 320.49 and 166.86 is: 230.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.25 : 320.49 = 166.86 : x
  2. Step 2: Convert to fraction form
    232.25/320.49 = 166.86/x
  3. Step 3: Cross multiply
    232.25x = 320.49 × 166.86
  4. Step 4: Simplify right side
    232.25x = 53,476.96
  5. Step 5: Solve for x
    x = 53,476.96/232.25
  6. Step 6: Final answer
    x = 230.26

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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.