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Finding the Fourth Proportional to 228.56, 344.43 and 206.90

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Solution

The fourth proportional to 228.56, 344.43 and 206.90 is: 311.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.56 : 344.43 = 206.90 : x
  2. Step 2: Convert to fraction form
    228.56/344.43 = 206.90/x
  3. Step 3: Cross multiply
    228.56x = 344.43 × 206.90
  4. Step 4: Simplify right side
    228.56x = 71,262.57
  5. Step 5: Solve for x
    x = 71,262.57/228.56
  6. Step 6: Final answer
    x = 311.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.