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Finding the Fourth Proportional to 323.69, 446.63 and 192.69

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Solution

The fourth proportional to 323.69, 446.63 and 192.69 is: 265.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.69 : 446.63 = 192.69 : x
  2. Step 2: Convert to fraction form
    323.69/446.63 = 192.69/x
  3. Step 3: Cross multiply
    323.69x = 446.63 × 192.69
  4. Step 4: Simplify right side
    323.69x = 86,060.17
  5. Step 5: Solve for x
    x = 86,060.17/323.69
  6. Step 6: Final answer
    x = 265.88

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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.