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Finding the Fourth Proportional to 233.05, 321.34 and 159.42

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Solution

The fourth proportional to 233.05, 321.34 and 159.42 is: 219.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.05 : 321.34 = 159.42 : x
  2. Step 2: Convert to fraction form
    233.05/321.34 = 159.42/x
  3. Step 3: Cross multiply
    233.05x = 321.34 × 159.42
  4. Step 4: Simplify right side
    233.05x = 51,228.02
  5. Step 5: Solve for x
    x = 51,228.02/233.05
  6. Step 6: Final answer
    x = 219.82

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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.