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Finding the Fourth Proportional to 309.25, 426.45 and 204.31

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Solution

The fourth proportional to 309.25, 426.45 and 204.31 is: 281.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.25 : 426.45 = 204.31 : x
  2. Step 2: Convert to fraction form
    309.25/426.45 = 204.31/x
  3. Step 3: Cross multiply
    309.25x = 426.45 × 204.31
  4. Step 4: Simplify right side
    309.25x = 87,128.00
  5. Step 5: Solve for x
    x = 87,128.00/309.25
  6. Step 6: Final answer
    x = 281.74

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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.