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Finding the Fourth Proportional to 227.93, 340.95 and 208.54

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Solution

The fourth proportional to 227.93, 340.95 and 208.54 is: 311.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.93 : 340.95 = 208.54 : x
  2. Step 2: Convert to fraction form
    227.93/340.95 = 208.54/x
  3. Step 3: Cross multiply
    227.93x = 340.95 × 208.54
  4. Step 4: Simplify right side
    227.93x = 71,102.92
  5. Step 5: Solve for x
    x = 71,102.92/227.93
  6. Step 6: Final answer
    x = 311.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.