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Finding the Fourth Proportional to 205.09, 307.67 and 68.18

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Solution

The fourth proportional to 205.09, 307.67 and 68.18 is: 102.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.09 : 307.67 = 68.18 : x
  2. Step 2: Convert to fraction form
    205.09/307.67 = 68.18/x
  3. Step 3: Cross multiply
    205.09x = 307.67 × 68.18
  4. Step 4: Simplify right side
    205.09x = 20,975.06
  5. Step 5: Solve for x
    x = 20,975.06/205.09
  6. Step 6: Final answer
    x = 102.27

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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.