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Finding the Fourth Proportional to 228.32, 341.92 and 200.80

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Solution

The fourth proportional to 228.32, 341.92 and 200.80 is: 300.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.32 : 341.92 = 200.80 : x
  2. Step 2: Convert to fraction form
    228.32/341.92 = 200.80/x
  3. Step 3: Cross multiply
    228.32x = 341.92 × 200.80
  4. Step 4: Simplify right side
    228.32x = 68,657.54
  5. Step 5: Solve for x
    x = 68,657.54/228.32
  6. Step 6: Final answer
    x = 300.71

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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.