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Finding the Fourth Proportional to 298.23, 411.28 and 204.81

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Solution

The fourth proportional to 298.23, 411.28 and 204.81 is: 282.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.23 : 411.28 = 204.81 : x
  2. Step 2: Convert to fraction form
    298.23/411.28 = 204.81/x
  3. Step 3: Cross multiply
    298.23x = 411.28 × 204.81
  4. Step 4: Simplify right side
    298.23x = 84,234.26
  5. Step 5: Solve for x
    x = 84,234.26/298.23
  6. Step 6: Final answer
    x = 282.45

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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.