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Finding the Fourth Proportional to 234.66, 323.08 and 199.62

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Solution

The fourth proportional to 234.66, 323.08 and 199.62 is: 274.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.66 : 323.08 = 199.62 : x
  2. Step 2: Convert to fraction form
    234.66/323.08 = 199.62/x
  3. Step 3: Cross multiply
    234.66x = 323.08 × 199.62
  4. Step 4: Simplify right side
    234.66x = 64,493.23
  5. Step 5: Solve for x
    x = 64,493.23/234.66
  6. Step 6: Final answer
    x = 274.84

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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.