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Finding the Fourth Proportional to 352.21, 485.98 and 227.83

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Solution

The fourth proportional to 352.21, 485.98 and 227.83 is: 314.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.21 : 485.98 = 227.83 : x
  2. Step 2: Convert to fraction form
    352.21/485.98 = 227.83/x
  3. Step 3: Cross multiply
    352.21x = 485.98 × 227.83
  4. Step 4: Simplify right side
    352.21x = 110,720.82
  5. Step 5: Solve for x
    x = 110,720.82/352.21
  6. Step 6: Final answer
    x = 314.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.