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Finding the Fourth Proportional to 235.98, 324.83 and 204.71

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Solution

The fourth proportional to 235.98, 324.83 and 204.71 is: 281.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.98 : 324.83 = 204.71 : x
  2. Step 2: Convert to fraction form
    235.98/324.83 = 204.71/x
  3. Step 3: Cross multiply
    235.98x = 324.83 × 204.71
  4. Step 4: Simplify right side
    235.98x = 66,494.84
  5. Step 5: Solve for x
    x = 66,494.84/235.98
  6. Step 6: Final answer
    x = 281.78

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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.