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Finding the Fourth Proportional to 209.72, 313.20 and 192.44

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Solution

The fourth proportional to 209.72, 313.20 and 192.44 is: 287.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.72 : 313.20 = 192.44 : x
  2. Step 2: Convert to fraction form
    209.72/313.20 = 192.44/x
  3. Step 3: Cross multiply
    209.72x = 313.20 × 192.44
  4. Step 4: Simplify right side
    209.72x = 60,272.99
  5. Step 5: Solve for x
    x = 60,272.99/209.72
  6. Step 6: Final answer
    x = 287.39

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.