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Finding the Fourth Proportional to 323.19, 445.89 and 192.12

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Solution

The fourth proportional to 323.19, 445.89 and 192.12 is: 265.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.19 : 445.89 = 192.12 : x
  2. Step 2: Convert to fraction form
    323.19/445.89 = 192.12/x
  3. Step 3: Cross multiply
    323.19x = 445.89 × 192.12
  4. Step 4: Simplify right side
    323.19x = 85,664.39
  5. Step 5: Solve for x
    x = 85,664.39/323.19
  6. Step 6: Final answer
    x = 265.06

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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.