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Finding the Fourth Proportional to 190.26, 261.66 and 165.72

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Solution

The fourth proportional to 190.26, 261.66 and 165.72 is: 227.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.26 : 261.66 = 165.72 : x
  2. Step 2: Convert to fraction form
    190.26/261.66 = 165.72/x
  3. Step 3: Cross multiply
    190.26x = 261.66 × 165.72
  4. Step 4: Simplify right side
    190.26x = 43,362.30
  5. Step 5: Solve for x
    x = 43,362.30/190.26
  6. Step 6: Final answer
    x = 227.91

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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.