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Finding the Fourth Proportional to 235.97, 352.24 and 216.71

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Solution

The fourth proportional to 235.97, 352.24 and 216.71 is: 323.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.97 : 352.24 = 216.71 : x
  2. Step 2: Convert to fraction form
    235.97/352.24 = 216.71/x
  3. Step 3: Cross multiply
    235.97x = 352.24 × 216.71
  4. Step 4: Simplify right side
    235.97x = 76,333.93
  5. Step 5: Solve for x
    x = 76,333.93/235.97
  6. Step 6: Final answer
    x = 323.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.