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Finding the Fourth Proportional to 292.56, 403.92 and 204

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Solution

The fourth proportional to 292.56, 403.92 and 204 is: 281.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.56 : 403.92 = 204 : x
  2. Step 2: Convert to fraction form
    292.56/403.92 = 204/x
  3. Step 3: Cross multiply
    292.56x = 403.92 × 204
  4. Step 4: Simplify right side
    292.56x = 82,399.68
  5. Step 5: Solve for x
    x = 82,399.68/292.56
  6. Step 6: Final answer
    x = 281.65

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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.