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Finding the Fourth Proportional to 206.36, 309.56 and 84.60

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Solution

The fourth proportional to 206.36, 309.56 and 84.60 is: 126.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.36 : 309.56 = 84.60 : x
  2. Step 2: Convert to fraction form
    206.36/309.56 = 84.60/x
  3. Step 3: Cross multiply
    206.36x = 309.56 × 84.60
  4. Step 4: Simplify right side
    206.36x = 26,188.78
  5. Step 5: Solve for x
    x = 26,188.78/206.36
  6. Step 6: Final answer
    x = 126.91

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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.