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Finding the Fourth Proportional to 209.92, 315.45 and 196.38

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Solution

The fourth proportional to 209.92, 315.45 and 196.38 is: 295.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.92 : 315.45 = 196.38 : x
  2. Step 2: Convert to fraction form
    209.92/315.45 = 196.38/x
  3. Step 3: Cross multiply
    209.92x = 315.45 × 196.38
  4. Step 4: Simplify right side
    209.92x = 61,948.07
  5. Step 5: Solve for x
    x = 61,948.07/209.92
  6. Step 6: Final answer
    x = 295.10

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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.