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Finding the Fourth Proportional to 323.04, 445.72 and 206.64

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Solution

The fourth proportional to 323.04, 445.72 and 206.64 is: 285.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.04 : 445.72 = 206.64 : x
  2. Step 2: Convert to fraction form
    323.04/445.72 = 206.64/x
  3. Step 3: Cross multiply
    323.04x = 445.72 × 206.64
  4. Step 4: Simplify right side
    323.04x = 92,103.58
  5. Step 5: Solve for x
    x = 92,103.58/323.04
  6. Step 6: Final answer
    x = 285.12

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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.