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Finding the Fourth Proportional to 232.78, 321.22 and 145.44

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Solution

The fourth proportional to 232.78, 321.22 and 145.44 is: 200.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.78 : 321.22 = 145.44 : x
  2. Step 2: Convert to fraction form
    232.78/321.22 = 145.44/x
  3. Step 3: Cross multiply
    232.78x = 321.22 × 145.44
  4. Step 4: Simplify right side
    232.78x = 46,718.24
  5. Step 5: Solve for x
    x = 46,718.24/232.78
  6. Step 6: Final answer
    x = 200.70

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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.