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Finding the Fourth Proportional to 292.70, 403.44 and 205.22

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Solution

The fourth proportional to 292.70, 403.44 and 205.22 is: 282.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.70 : 403.44 = 205.22 : x
  2. Step 2: Convert to fraction form
    292.70/403.44 = 205.22/x
  3. Step 3: Cross multiply
    292.70x = 403.44 × 205.22
  4. Step 4: Simplify right side
    292.70x = 82,793.96
  5. Step 5: Solve for x
    x = 82,793.96/292.70
  6. Step 6: Final answer
    x = 282.86

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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.