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Finding the Fourth Proportional to 172.78, 237.94 and 163.87

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Solution

The fourth proportional to 172.78, 237.94 and 163.87 is: 225.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.78 : 237.94 = 163.87 : x
  2. Step 2: Convert to fraction form
    172.78/237.94 = 163.87/x
  3. Step 3: Cross multiply
    172.78x = 237.94 × 163.87
  4. Step 4: Simplify right side
    172.78x = 38,991.23
  5. Step 5: Solve for x
    x = 38,991.23/172.78
  6. Step 6: Final answer
    x = 225.67

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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.