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Finding the Fourth Proportional to 163.85, 225.86 and 137.70

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Solution

The fourth proportional to 163.85, 225.86 and 137.70 is: 189.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.85 : 225.86 = 137.70 : x
  2. Step 2: Convert to fraction form
    163.85/225.86 = 137.70/x
  3. Step 3: Cross multiply
    163.85x = 225.86 × 137.70
  4. Step 4: Simplify right side
    163.85x = 31,100.23
  5. Step 5: Solve for x
    x = 31,100.23/163.85
  6. Step 6: Final answer
    x = 189.81

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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.