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Finding the Fourth Proportional to 219.09, 327.98 and 192.09

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Solution

The fourth proportional to 219.09, 327.98 and 192.09 is: 287.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.09 : 327.98 = 192.09 : x
  2. Step 2: Convert to fraction form
    219.09/327.98 = 192.09/x
  3. Step 3: Cross multiply
    219.09x = 327.98 × 192.09
  4. Step 4: Simplify right side
    219.09x = 63,000.72
  5. Step 5: Solve for x
    x = 63,000.72/219.09
  6. Step 6: Final answer
    x = 287.56

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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.