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Finding the Fourth Proportional to 323.35, 446.25 and 192.40

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Solution

The fourth proportional to 323.35, 446.25 and 192.40 is: 265.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.35 : 446.25 = 192.40 : x
  2. Step 2: Convert to fraction form
    323.35/446.25 = 192.40/x
  3. Step 3: Cross multiply
    323.35x = 446.25 × 192.40
  4. Step 4: Simplify right side
    323.35x = 85,858.50
  5. Step 5: Solve for x
    x = 85,858.50/323.35
  6. Step 6: Final answer
    x = 265.53

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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.