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Finding the Fourth Proportional to 298.25, 446.22 and 206.66

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Solution

The fourth proportional to 298.25, 446.22 and 206.66 is: 309.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.25 : 446.22 = 206.66 : x
  2. Step 2: Convert to fraction form
    298.25/446.22 = 206.66/x
  3. Step 3: Cross multiply
    298.25x = 446.22 × 206.66
  4. Step 4: Simplify right side
    298.25x = 92,216.94
  5. Step 5: Solve for x
    x = 92,216.94/298.25
  6. Step 6: Final answer
    x = 309.19

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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.