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Finding the Fourth Proportional to 311.59, 430.13 and 206.73

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Solution

The fourth proportional to 311.59, 430.13 and 206.73 is: 285.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.59 : 430.13 = 206.73 : x
  2. Step 2: Convert to fraction form
    311.59/430.13 = 206.73/x
  3. Step 3: Cross multiply
    311.59x = 430.13 × 206.73
  4. Step 4: Simplify right side
    311.59x = 88,920.77
  5. Step 5: Solve for x
    x = 88,920.77/311.59
  6. Step 6: Final answer
    x = 285.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.