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Finding the Fourth Proportional to 323.62, 446.62 and 183.78

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Solution

The fourth proportional to 323.62, 446.62 and 183.78 is: 253.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.62 : 446.62 = 183.78 : x
  2. Step 2: Convert to fraction form
    323.62/446.62 = 183.78/x
  3. Step 3: Cross multiply
    323.62x = 446.62 × 183.78
  4. Step 4: Simplify right side
    323.62x = 82,078.47
  5. Step 5: Solve for x
    x = 82,078.47/323.62
  6. Step 6: Final answer
    x = 253.63

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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.