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Finding the Fourth Proportional to 323.75, 446.78 and 176.39

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Solution

The fourth proportional to 323.75, 446.78 and 176.39 is: 243.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.75 : 446.78 = 176.39 : x
  2. Step 2: Convert to fraction form
    323.75/446.78 = 176.39/x
  3. Step 3: Cross multiply
    323.75x = 446.78 × 176.39
  4. Step 4: Simplify right side
    323.75x = 78,807.41
  5. Step 5: Solve for x
    x = 78,807.41/323.75
  6. Step 6: Final answer
    x = 243.42

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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.