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Finding the Fourth Proportional to 233.22, 321.75 and 159.41

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Solution

The fourth proportional to 233.22, 321.75 and 159.41 is: 219.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.22 : 321.75 = 159.41 : x
  2. Step 2: Convert to fraction form
    233.22/321.75 = 159.41/x
  3. Step 3: Cross multiply
    233.22x = 321.75 × 159.41
  4. Step 4: Simplify right side
    233.22x = 51,290.97
  5. Step 5: Solve for x
    x = 51,290.97/233.22
  6. Step 6: Final answer
    x = 219.92

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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.