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Finding the Fourth Proportional to 232.12, 319.98 and 166.51

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Solution

The fourth proportional to 232.12, 319.98 and 166.51 is: 229.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.12 : 319.98 = 166.51 : x
  2. Step 2: Convert to fraction form
    232.12/319.98 = 166.51/x
  3. Step 3: Cross multiply
    232.12x = 319.98 × 166.51
  4. Step 4: Simplify right side
    232.12x = 53,279.87
  5. Step 5: Solve for x
    x = 53,279.87/232.12
  6. Step 6: Final answer
    x = 229.54

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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.