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Finding the Fourth Proportional to 206.74, 310.35 and 129.88

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Solution

The fourth proportional to 206.74, 310.35 and 129.88 is: 194.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.74 : 310.35 = 129.88 : x
  2. Step 2: Convert to fraction form
    206.74/310.35 = 129.88/x
  3. Step 3: Cross multiply
    206.74x = 310.35 × 129.88
  4. Step 4: Simplify right side
    206.74x = 40,308.26
  5. Step 5: Solve for x
    x = 40,308.26/206.74
  6. Step 6: Final answer
    x = 194.97

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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.