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Finding the Fourth Proportional to 321.07, 481.67 and 206.26

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Solution

The fourth proportional to 321.07, 481.67 and 206.26 is: 309.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.07 : 481.67 = 206.26 : x
  2. Step 2: Convert to fraction form
    321.07/481.67 = 206.26/x
  3. Step 3: Cross multiply
    321.07x = 481.67 × 206.26
  4. Step 4: Simplify right side
    321.07x = 99,349.25
  5. Step 5: Solve for x
    x = 99,349.25/321.07
  6. Step 6: Final answer
    x = 309.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.