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Finding the Fourth Proportional to 233.05, 321.16 and 167.44

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Solution

The fourth proportional to 233.05, 321.16 and 167.44 is: 230.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.05 : 321.16 = 167.44 : x
  2. Step 2: Convert to fraction form
    233.05/321.16 = 167.44/x
  3. Step 3: Cross multiply
    233.05x = 321.16 × 167.44
  4. Step 4: Simplify right side
    233.05x = 53,773.42
  5. Step 5: Solve for x
    x = 53,773.42/233.05
  6. Step 6: Final answer
    x = 230.74

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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.