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Finding the Fourth Proportional to 198.95, 273.92 and 172.62

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Solution

The fourth proportional to 198.95, 273.92 and 172.62 is: 237.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.95 : 273.92 = 172.62 : x
  2. Step 2: Convert to fraction form
    198.95/273.92 = 172.62/x
  3. Step 3: Cross multiply
    198.95x = 273.92 × 172.62
  4. Step 4: Simplify right side
    198.95x = 47,283.21
  5. Step 5: Solve for x
    x = 47,283.21/198.95
  6. Step 6: Final answer
    x = 237.67

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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.