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Finding the Fourth Proportional to 323.05, 445.82 and 192.06

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Solution

The fourth proportional to 323.05, 445.82 and 192.06 is: 265.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.05 : 445.82 = 192.06 : x
  2. Step 2: Convert to fraction form
    323.05/445.82 = 192.06/x
  3. Step 3: Cross multiply
    323.05x = 445.82 × 192.06
  4. Step 4: Simplify right side
    323.05x = 85,622.11
  5. Step 5: Solve for x
    x = 85,622.11/323.05
  6. Step 6: Final answer
    x = 265.04

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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.