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Finding the Fourth Proportional to 216.85, 323.75 and 203.82

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Solution

The fourth proportional to 216.85, 323.75 and 203.82 is: 304.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.85 : 323.75 = 203.82 : x
  2. Step 2: Convert to fraction form
    216.85/323.75 = 203.82/x
  3. Step 3: Cross multiply
    216.85x = 323.75 × 203.82
  4. Step 4: Simplify right side
    216.85x = 65,986.73
  5. Step 5: Solve for x
    x = 65,986.73/216.85
  6. Step 6: Final answer
    x = 304.30

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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.