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Finding the Fourth Proportional to 233.20, 321.46 and 159.38

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Solution

The fourth proportional to 233.20, 321.46 and 159.38 is: 219.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.20 : 321.46 = 159.38 : x
  2. Step 2: Convert to fraction form
    233.20/321.46 = 159.38/x
  3. Step 3: Cross multiply
    233.20x = 321.46 × 159.38
  4. Step 4: Simplify right side
    233.20x = 51,234.29
  5. Step 5: Solve for x
    x = 51,234.29/233.20
  6. Step 6: Final answer
    x = 219.70

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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.