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Finding the Fourth Proportional to 323.98, 446.98 and 205.93

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Solution

The fourth proportional to 323.98, 446.98 and 205.93 is: 284.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.98 : 446.98 = 205.93 : x
  2. Step 2: Convert to fraction form
    323.98/446.98 = 205.93/x
  3. Step 3: Cross multiply
    323.98x = 446.98 × 205.93
  4. Step 4: Simplify right side
    323.98x = 92,043.33
  5. Step 5: Solve for x
    x = 92,043.33/323.98
  6. Step 6: Final answer
    x = 284.10

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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.