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Finding the Fourth Proportional to 232.99, 321.08 and 167.38

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Solution

The fourth proportional to 232.99, 321.08 and 167.38 is: 230.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.99 : 321.08 = 167.38 : x
  2. Step 2: Convert to fraction form
    232.99/321.08 = 167.38/x
  3. Step 3: Cross multiply
    232.99x = 321.08 × 167.38
  4. Step 4: Simplify right side
    232.99x = 53,742.37
  5. Step 5: Solve for x
    x = 53,742.37/232.99
  6. Step 6: Final answer
    x = 230.66

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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.