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Finding the Fourth Proportional to 323.09, 446.08 and 192.14

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Solution

The fourth proportional to 323.09, 446.08 and 192.14 is: 265.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.09 : 446.08 = 192.14 : x
  2. Step 2: Convert to fraction form
    323.09/446.08 = 192.14/x
  3. Step 3: Cross multiply
    323.09x = 446.08 × 192.14
  4. Step 4: Simplify right side
    323.09x = 85,709.81
  5. Step 5: Solve for x
    x = 85,709.81/323.09
  6. Step 6: Final answer
    x = 265.28

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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.