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Finding the Fourth Proportional to 323.33, 446.19 and 175.96

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Solution

The fourth proportional to 323.33, 446.19 and 175.96 is: 242.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.33 : 446.19 = 175.96 : x
  2. Step 2: Convert to fraction form
    323.33/446.19 = 175.96/x
  3. Step 3: Cross multiply
    323.33x = 446.19 × 175.96
  4. Step 4: Simplify right side
    323.33x = 78,511.59
  5. Step 5: Solve for x
    x = 78,511.59/323.33
  6. Step 6: Final answer
    x = 242.82

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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.