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Finding the Fourth Proportional to 227.96, 313.92 and 192.92

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Solution

The fourth proportional to 227.96, 313.92 and 192.92 is: 265.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.96 : 313.92 = 192.92 : x
  2. Step 2: Convert to fraction form
    227.96/313.92 = 192.92/x
  3. Step 3: Cross multiply
    227.96x = 313.92 × 192.92
  4. Step 4: Simplify right side
    227.96x = 60,561.45
  5. Step 5: Solve for x
    x = 60,561.45/227.96
  6. Step 6: Final answer
    x = 265.67

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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.