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Finding the Fourth Proportional to 323.28, 445.80 and 192.28

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Solution

The fourth proportional to 323.28, 445.80 and 192.28 is: 265.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.28 : 445.80 = 192.28 : x
  2. Step 2: Convert to fraction form
    323.28/445.80 = 192.28/x
  3. Step 3: Cross multiply
    323.28x = 445.80 × 192.28
  4. Step 4: Simplify right side
    323.28x = 85,718.42
  5. Step 5: Solve for x
    x = 85,718.42/323.28
  6. Step 6: Final answer
    x = 265.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.