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Finding the Fourth Proportional to 224.47, 334.99 and 200.17

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Solution

The fourth proportional to 224.47, 334.99 and 200.17 is: 298.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.47 : 334.99 = 200.17 : x
  2. Step 2: Convert to fraction form
    224.47/334.99 = 200.17/x
  3. Step 3: Cross multiply
    224.47x = 334.99 × 200.17
  4. Step 4: Simplify right side
    224.47x = 67,054.95
  5. Step 5: Solve for x
    x = 67,054.95/224.47
  6. Step 6: Final answer
    x = 298.73

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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.