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Finding the Fourth Proportional to 206.36, 309.26 and 97.96

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Solution

The fourth proportional to 206.36, 309.26 and 97.96 is: 146.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.36 : 309.26 = 97.96 : x
  2. Step 2: Convert to fraction form
    206.36/309.26 = 97.96/x
  3. Step 3: Cross multiply
    206.36x = 309.26 × 97.96
  4. Step 4: Simplify right side
    206.36x = 30,295.11
  5. Step 5: Solve for x
    x = 30,295.11/206.36
  6. Step 6: Final answer
    x = 146.81

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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.