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Finding the Fourth Proportional to 298.56, 412.16 and 224.90

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Solution

The fourth proportional to 298.56, 412.16 and 224.90 is: 310.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.56 : 412.16 = 224.90 : x
  2. Step 2: Convert to fraction form
    298.56/412.16 = 224.90/x
  3. Step 3: Cross multiply
    298.56x = 412.16 × 224.90
  4. Step 4: Simplify right side
    298.56x = 92,694.78
  5. Step 5: Solve for x
    x = 92,694.78/298.56
  6. Step 6: Final answer
    x = 310.47

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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.