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Finding the Fourth Proportional to 298.22, 446.65 and 206.69

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Solution

The fourth proportional to 298.22, 446.65 and 206.69 is: 309.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.22 : 446.65 = 206.69 : x
  2. Step 2: Convert to fraction form
    298.22/446.65 = 206.69/x
  3. Step 3: Cross multiply
    298.22x = 446.65 × 206.69
  4. Step 4: Simplify right side
    298.22x = 92,315.34
  5. Step 5: Solve for x
    x = 92,315.34/298.22
  6. Step 6: Final answer
    x = 309.56

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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.