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Finding the Fourth Proportional to 309.22, 426.29 and 205.54

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Solution

The fourth proportional to 309.22, 426.29 and 205.54 is: 283.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.22 : 426.29 = 205.54 : x
  2. Step 2: Convert to fraction form
    309.22/426.29 = 205.54/x
  3. Step 3: Cross multiply
    309.22x = 426.29 × 205.54
  4. Step 4: Simplify right side
    309.22x = 87,619.65
  5. Step 5: Solve for x
    x = 87,619.65/309.22
  6. Step 6: Final answer
    x = 283.36

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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.