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Finding the Fourth Proportional to 298.02, 411.30 and 224.70

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Solution

The fourth proportional to 298.02, 411.30 and 224.70 is: 310.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.02 : 411.30 = 224.70 : x
  2. Step 2: Convert to fraction form
    298.02/411.30 = 224.70/x
  3. Step 3: Cross multiply
    298.02x = 411.30 × 224.70
  4. Step 4: Simplify right side
    298.02x = 92,419.11
  5. Step 5: Solve for x
    x = 92,419.11/298.02
  6. Step 6: Final answer
    x = 310.11

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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.