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Finding the Fourth Proportional to 224.29, 334.21 and 200.06

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Solution

The fourth proportional to 224.29, 334.21 and 200.06 is: 298.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.29 : 334.21 = 200.06 : x
  2. Step 2: Convert to fraction form
    224.29/334.21 = 200.06/x
  3. Step 3: Cross multiply
    224.29x = 334.21 × 200.06
  4. Step 4: Simplify right side
    224.29x = 66,862.05
  5. Step 5: Solve for x
    x = 66,862.05/224.29
  6. Step 6: Final answer
    x = 298.11

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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.