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Finding the Fourth Proportional to 234.41, 323.29 and 199.55

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Solution

The fourth proportional to 234.41, 323.29 and 199.55 is: 275.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.41 : 323.29 = 199.55 : x
  2. Step 2: Convert to fraction form
    234.41/323.29 = 199.55/x
  3. Step 3: Cross multiply
    234.41x = 323.29 × 199.55
  4. Step 4: Simplify right side
    234.41x = 64,512.83
  5. Step 5: Solve for x
    x = 64,512.83/234.41
  6. Step 6: Final answer
    x = 275.22

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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.