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Finding the Fourth Proportional to 309.14, 426.40 and 204.24

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Solution

The fourth proportional to 309.14, 426.40 and 204.24 is: 281.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.14 : 426.40 = 204.24 : x
  2. Step 2: Convert to fraction form
    309.14/426.40 = 204.24/x
  3. Step 3: Cross multiply
    309.14x = 426.40 × 204.24
  4. Step 4: Simplify right side
    309.14x = 87,087.94
  5. Step 5: Solve for x
    x = 87,087.94/309.14
  6. Step 6: Final answer
    x = 281.71

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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.