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Finding the Fourth Proportional to 193.28, 288.62 and 168.96

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Solution

The fourth proportional to 193.28, 288.62 and 168.96 is: 252.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.28 : 288.62 = 168.96 : x
  2. Step 2: Convert to fraction form
    193.28/288.62 = 168.96/x
  3. Step 3: Cross multiply
    193.28x = 288.62 × 168.96
  4. Step 4: Simplify right side
    193.28x = 48,765.24
  5. Step 5: Solve for x
    x = 48,765.24/193.28
  6. Step 6: Final answer
    x = 252.30

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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.