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Finding the Fourth Proportional to 206.33, 309.22 and 84.45

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Solution

The fourth proportional to 206.33, 309.22 and 84.45 is: 126.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.33 : 309.22 = 84.45 : x
  2. Step 2: Convert to fraction form
    206.33/309.22 = 84.45/x
  3. Step 3: Cross multiply
    206.33x = 309.22 × 84.45
  4. Step 4: Simplify right side
    206.33x = 26,113.42
  5. Step 5: Solve for x
    x = 26,113.42/206.33
  6. Step 6: Final answer
    x = 126.56

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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.