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Finding the Fourth Proportional to 163.89, 225.95 and 119.55

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Solution

The fourth proportional to 163.89, 225.95 and 119.55 is: 164.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.89 : 225.95 = 119.55 : x
  2. Step 2: Convert to fraction form
    163.89/225.95 = 119.55/x
  3. Step 3: Cross multiply
    163.89x = 225.95 × 119.55
  4. Step 4: Simplify right side
    163.89x = 27,010.82
  5. Step 5: Solve for x
    x = 27,010.82/163.89
  6. Step 6: Final answer
    x = 164.81

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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.