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Finding the Fourth Proportional to 199.73, 298.16 and 170.67

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Solution

The fourth proportional to 199.73, 298.16 and 170.67 is: 254.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.73 : 298.16 = 170.67 : x
  2. Step 2: Convert to fraction form
    199.73/298.16 = 170.67/x
  3. Step 3: Cross multiply
    199.73x = 298.16 × 170.67
  4. Step 4: Simplify right side
    199.73x = 50,888.83
  5. Step 5: Solve for x
    x = 50,888.83/199.73
  6. Step 6: Final answer
    x = 254.78

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.