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Finding the Fourth Proportional to 163.46, 225.40 and 126.54

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Solution

The fourth proportional to 163.46, 225.40 and 126.54 is: 174.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.46 : 225.40 = 126.54 : x
  2. Step 2: Convert to fraction form
    163.46/225.40 = 126.54/x
  3. Step 3: Cross multiply
    163.46x = 225.40 × 126.54
  4. Step 4: Simplify right side
    163.46x = 28,521.48
  5. Step 5: Solve for x
    x = 28,521.48/163.46
  6. Step 6: Final answer
    x = 174.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.