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Finding the Fourth Proportional to 298.74, 412.17 and 200.78

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Solution

The fourth proportional to 298.74, 412.17 and 200.78 is: 277.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.74 : 412.17 = 200.78 : x
  2. Step 2: Convert to fraction form
    298.74/412.17 = 200.78/x
  3. Step 3: Cross multiply
    298.74x = 412.17 × 200.78
  4. Step 4: Simplify right side
    298.74x = 82,755.49
  5. Step 5: Solve for x
    x = 82,755.49/298.74
  6. Step 6: Final answer
    x = 277.02

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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.