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Finding the Fourth Proportional to 267.47, 398.97 and 224.41

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Solution

The fourth proportional to 267.47, 398.97 and 224.41 is: 334.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.47 : 398.97 = 224.41 : x
  2. Step 2: Convert to fraction form
    267.47/398.97 = 224.41/x
  3. Step 3: Cross multiply
    267.47x = 398.97 × 224.41
  4. Step 4: Simplify right side
    267.47x = 89,532.86
  5. Step 5: Solve for x
    x = 89,532.86/267.47
  6. Step 6: Final answer
    x = 334.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.