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Finding the Fourth Proportional to 190.06, 261.98 and 163.69

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Solution

The fourth proportional to 190.06, 261.98 and 163.69 is: 225.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.06 : 261.98 = 163.69 : x
  2. Step 2: Convert to fraction form
    190.06/261.98 = 163.69/x
  3. Step 3: Cross multiply
    190.06x = 261.98 × 163.69
  4. Step 4: Simplify right side
    190.06x = 42,883.57
  5. Step 5: Solve for x
    x = 42,883.57/190.06
  6. Step 6: Final answer
    x = 225.63

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Why These Related Problems?

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