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Finding the Fourth Proportional to 209.78, 315.06 and 196.82

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Solution

The fourth proportional to 209.78, 315.06 and 196.82 is: 295.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.78 : 315.06 = 196.82 : x
  2. Step 2: Convert to fraction form
    209.78/315.06 = 196.82/x
  3. Step 3: Cross multiply
    209.78x = 315.06 × 196.82
  4. Step 4: Simplify right side
    209.78x = 62,010.11
  5. Step 5: Solve for x
    x = 62,010.11/209.78
  6. Step 6: Final answer
    x = 295.60

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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.