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Finding the Fourth Proportional to 163.90, 225.93 and 134.74

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Solution

The fourth proportional to 163.90, 225.93 and 134.74 is: 185.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.90 : 225.93 = 134.74 : x
  2. Step 2: Convert to fraction form
    163.90/225.93 = 134.74/x
  3. Step 3: Cross multiply
    163.90x = 225.93 × 134.74
  4. Step 4: Simplify right side
    163.90x = 30,441.81
  5. Step 5: Solve for x
    x = 30,441.81/163.90
  6. Step 6: Final answer
    x = 185.73

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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.