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Finding the Fourth Proportional to 352.12, 485.62 and 227.66

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Solution

The fourth proportional to 352.12, 485.62 and 227.66 is: 313.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.12 : 485.62 = 227.66 : x
  2. Step 2: Convert to fraction form
    352.12/485.62 = 227.66/x
  3. Step 3: Cross multiply
    352.12x = 485.62 × 227.66
  4. Step 4: Simplify right side
    352.12x = 110,556.62
  5. Step 5: Solve for x
    x = 110,556.62/352.12
  6. Step 6: Final answer
    x = 313.97

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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.