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Finding the Fourth Proportional to 192.87, 287.90 and 165.99

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Solution

The fourth proportional to 192.87, 287.90 and 165.99 is: 247.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.87 : 287.90 = 165.99 : x
  2. Step 2: Convert to fraction form
    192.87/287.90 = 165.99/x
  3. Step 3: Cross multiply
    192.87x = 287.90 × 165.99
  4. Step 4: Simplify right side
    192.87x = 47,788.52
  5. Step 5: Solve for x
    x = 47,788.52/192.87
  6. Step 6: Final answer
    x = 247.78

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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.