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Finding the Fourth Proportional to 232.82, 320.90 and 159

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Solution

The fourth proportional to 232.82, 320.90 and 159 is: 219.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.82 : 320.90 = 159 : x
  2. Step 2: Convert to fraction form
    232.82/320.90 = 159/x
  3. Step 3: Cross multiply
    232.82x = 320.90 × 159
  4. Step 4: Simplify right side
    232.82x = 51,023.10
  5. Step 5: Solve for x
    x = 51,023.10/232.82
  6. Step 6: Final answer
    x = 219.15

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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.