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Finding the Fourth Proportional to 298.10, 446.78 and 206.78

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Solution

The fourth proportional to 298.10, 446.78 and 206.78 is: 309.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.10 : 446.78 = 206.78 : x
  2. Step 2: Convert to fraction form
    298.10/446.78 = 206.78/x
  3. Step 3: Cross multiply
    298.10x = 446.78 × 206.78
  4. Step 4: Simplify right side
    298.10x = 92,383.45
  5. Step 5: Solve for x
    x = 92,383.45/298.10
  6. Step 6: Final answer
    x = 309.90

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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.