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Finding the Fourth Proportional to 309.09, 426.46 and 205.59

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Solution

The fourth proportional to 309.09, 426.46 and 205.59 is: 283.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.09 : 426.46 = 205.59 : x
  2. Step 2: Convert to fraction form
    309.09/426.46 = 205.59/x
  3. Step 3: Cross multiply
    309.09x = 426.46 × 205.59
  4. Step 4: Simplify right side
    309.09x = 87,675.91
  5. Step 5: Solve for x
    x = 87,675.91/309.09
  6. Step 6: Final answer
    x = 283.66

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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.