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Finding the Fourth Proportional to 298.21, 411.64 and 224.74

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Solution

The fourth proportional to 298.21, 411.64 and 224.74 is: 310.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.21 : 411.64 = 224.74 : x
  2. Step 2: Convert to fraction form
    298.21/411.64 = 224.74/x
  3. Step 3: Cross multiply
    298.21x = 411.64 × 224.74
  4. Step 4: Simplify right side
    298.21x = 92,511.97
  5. Step 5: Solve for x
    x = 92,511.97/298.21
  6. Step 6: Final answer
    x = 310.22

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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.