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Finding the Fourth Proportional to 163.56, 225.36 and 137.34

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Solution

The fourth proportional to 163.56, 225.36 and 137.34 is: 189.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.56 : 225.36 = 137.34 : x
  2. Step 2: Convert to fraction form
    163.56/225.36 = 137.34/x
  3. Step 3: Cross multiply
    163.56x = 225.36 × 137.34
  4. Step 4: Simplify right side
    163.56x = 30,950.94
  5. Step 5: Solve for x
    x = 30,950.94/163.56
  6. Step 6: Final answer
    x = 189.23

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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.