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Finding the Fourth Proportional to 163.09, 225.21 and 133.93

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Solution

The fourth proportional to 163.09, 225.21 and 133.93 is: 184.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.09 : 225.21 = 133.93 : x
  2. Step 2: Convert to fraction form
    163.09/225.21 = 133.93/x
  3. Step 3: Cross multiply
    163.09x = 225.21 × 133.93
  4. Step 4: Simplify right side
    163.09x = 30,162.38
  5. Step 5: Solve for x
    x = 30,162.38/163.09
  6. Step 6: Final answer
    x = 184.94

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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.