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Finding the Fourth Proportional to 205.73, 310 and 196.46

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Solution

The fourth proportional to 205.73, 310 and 196.46 is: 296.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.73 : 310 = 196.46 : x
  2. Step 2: Convert to fraction form
    205.73/310 = 196.46/x
  3. Step 3: Cross multiply
    205.73x = 310 × 196.46
  4. Step 4: Simplify right side
    205.73x = 60,902.60
  5. Step 5: Solve for x
    x = 60,902.60/205.73
  6. Step 6: Final answer
    x = 296.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.