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Finding the Fourth Proportional to 298.20, 411 and 204.78

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Solution

The fourth proportional to 298.20, 411 and 204.78 is: 282.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.20 : 411 = 204.78 : x
  2. Step 2: Convert to fraction form
    298.20/411 = 204.78/x
  3. Step 3: Cross multiply
    298.20x = 411 × 204.78
  4. Step 4: Simplify right side
    298.20x = 84,164.58
  5. Step 5: Solve for x
    x = 84,164.58/298.20
  6. Step 6: Final answer
    x = 282.24

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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.