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Finding the Fourth Proportional to 206.57, 309.92 and 129.59

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Solution

The fourth proportional to 206.57, 309.92 and 129.59 is: 194.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.57 : 309.92 = 129.59 : x
  2. Step 2: Convert to fraction form
    206.57/309.92 = 129.59/x
  3. Step 3: Cross multiply
    206.57x = 309.92 × 129.59
  4. Step 4: Simplify right side
    206.57x = 40,160.34
  5. Step 5: Solve for x
    x = 40,160.34/206.57
  6. Step 6: Final answer
    x = 194.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.