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Finding the Fourth Proportional to 177.41, 245.12 and 163.73

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Solution

The fourth proportional to 177.41, 245.12 and 163.73 is: 226.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.41 : 245.12 = 163.73 : x
  2. Step 2: Convert to fraction form
    177.41/245.12 = 163.73/x
  3. Step 3: Cross multiply
    177.41x = 245.12 × 163.73
  4. Step 4: Simplify right side
    177.41x = 40,133.29
  5. Step 5: Solve for x
    x = 40,133.29/177.41
  6. Step 6: Final answer
    x = 226.21

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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.