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Finding the Fourth Proportional to 297.96, 410.96 and 204.56

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Solution

The fourth proportional to 297.96, 410.96 and 204.56 is: 282.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.96 : 410.96 = 204.56 : x
  2. Step 2: Convert to fraction form
    297.96/410.96 = 204.56/x
  3. Step 3: Cross multiply
    297.96x = 410.96 × 204.56
  4. Step 4: Simplify right side
    297.96x = 84,065.98
  5. Step 5: Solve for x
    x = 84,065.98/297.96
  6. Step 6: Final answer
    x = 282.14

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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.