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Finding the Fourth Proportional to 190.72, 263.04 and 161.68

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Solution

The fourth proportional to 190.72, 263.04 and 161.68 is: 222.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.72 : 263.04 = 161.68 : x
  2. Step 2: Convert to fraction form
    190.72/263.04 = 161.68/x
  3. Step 3: Cross multiply
    190.72x = 263.04 × 161.68
  4. Step 4: Simplify right side
    190.72x = 42,528.31
  5. Step 5: Solve for x
    x = 42,528.31/190.72
  6. Step 6: Final answer
    x = 222.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.