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Finding the Fourth Proportional to 284.23, 392.49 and 205.97

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Solution

The fourth proportional to 284.23, 392.49 and 205.97 is: 284.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.23 : 392.49 = 205.97 : x
  2. Step 2: Convert to fraction form
    284.23/392.49 = 205.97/x
  3. Step 3: Cross multiply
    284.23x = 392.49 × 205.97
  4. Step 4: Simplify right side
    284.23x = 80,840.14
  5. Step 5: Solve for x
    x = 80,840.14/284.23
  6. Step 6: Final answer
    x = 284.42

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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.