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Finding the Fourth Proportional to 206.79, 310.29 and 129.78

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Solution

The fourth proportional to 206.79, 310.29 and 129.78 is: 194.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.79 : 310.29 = 129.78 : x
  2. Step 2: Convert to fraction form
    206.79/310.29 = 129.78/x
  3. Step 3: Cross multiply
    206.79x = 310.29 × 129.78
  4. Step 4: Simplify right side
    206.79x = 40,269.44
  5. Step 5: Solve for x
    x = 40,269.44/206.79
  6. Step 6: Final answer
    x = 194.74

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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.