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Finding the Fourth Proportional to 224.96, 335.68 and 201.96

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Solution

The fourth proportional to 224.96, 335.68 and 201.96 is: 301.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.96 : 335.68 = 201.96 : x
  2. Step 2: Convert to fraction form
    224.96/335.68 = 201.96/x
  3. Step 3: Cross multiply
    224.96x = 335.68 × 201.96
  4. Step 4: Simplify right side
    224.96x = 67,792.86
  5. Step 5: Solve for x
    x = 67,792.86/224.96
  6. Step 6: Final answer
    x = 301.35

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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.