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Finding the Fourth Proportional to 232.78, 321.26 and 133.22

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Solution

The fourth proportional to 232.78, 321.26 and 133.22 is: 183.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.78 : 321.26 = 133.22 : x
  2. Step 2: Convert to fraction form
    232.78/321.26 = 133.22/x
  3. Step 3: Cross multiply
    232.78x = 321.26 × 133.22
  4. Step 4: Simplify right side
    232.78x = 42,798.26
  5. Step 5: Solve for x
    x = 42,798.26/232.78
  6. Step 6: Final answer
    x = 183.86

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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.