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Finding the Fourth Proportional to 232.90, 321.02 and 159.09

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Solution

The fourth proportional to 232.90, 321.02 and 159.09 is: 219.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.90 : 321.02 = 159.09 : x
  2. Step 2: Convert to fraction form
    232.90/321.02 = 159.09/x
  3. Step 3: Cross multiply
    232.90x = 321.02 × 159.09
  4. Step 4: Simplify right side
    232.90x = 51,071.07
  5. Step 5: Solve for x
    x = 51,071.07/232.90
  6. Step 6: Final answer
    x = 219.28

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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.