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Finding the Fourth Proportional to 297.23, 410.42 and 204.17

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Solution

The fourth proportional to 297.23, 410.42 and 204.17 is: 281.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.23 : 410.42 = 204.17 : x
  2. Step 2: Convert to fraction form
    297.23/410.42 = 204.17/x
  3. Step 3: Cross multiply
    297.23x = 410.42 × 204.17
  4. Step 4: Simplify right side
    297.23x = 83,794.43
  5. Step 5: Solve for x
    x = 83,794.43/297.23
  6. Step 6: Final answer
    x = 281.92

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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.