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Finding the Fourth Proportional to 323.52, 446.46 and 190.74

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Solution

The fourth proportional to 323.52, 446.46 and 190.74 is: 263.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.52 : 446.46 = 190.74 : x
  2. Step 2: Convert to fraction form
    323.52/446.46 = 190.74/x
  3. Step 3: Cross multiply
    323.52x = 446.46 × 190.74
  4. Step 4: Simplify right side
    323.52x = 85,157.78
  5. Step 5: Solve for x
    x = 85,157.78/323.52
  6. Step 6: Final answer
    x = 263.22

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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.