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Finding the Fourth Proportional to 229.76, 343.92 and 200.96

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Solution

The fourth proportional to 229.76, 343.92 and 200.96 is: 300.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.76 : 343.92 = 200.96 : x
  2. Step 2: Convert to fraction form
    229.76/343.92 = 200.96/x
  3. Step 3: Cross multiply
    229.76x = 343.92 × 200.96
  4. Step 4: Simplify right side
    229.76x = 69,114.16
  5. Step 5: Solve for x
    x = 69,114.16/229.76
  6. Step 6: Final answer
    x = 300.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.