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Finding the Fourth Proportional to 298.24, 411.20 and 224.24

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Solution

The fourth proportional to 298.24, 411.20 and 224.24 is: 309.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.24 : 411.20 = 224.24 : x
  2. Step 2: Convert to fraction form
    298.24/411.20 = 224.24/x
  3. Step 3: Cross multiply
    298.24x = 411.20 × 224.24
  4. Step 4: Simplify right side
    298.24x = 92,207.49
  5. Step 5: Solve for x
    x = 92,207.49/298.24
  6. Step 6: Final answer
    x = 309.17

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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.