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Finding the Fourth Proportional to 205.88, 308.21 and 194.36

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Solution

The fourth proportional to 205.88, 308.21 and 194.36 is: 290.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.88 : 308.21 = 194.36 : x
  2. Step 2: Convert to fraction form
    205.88/308.21 = 194.36/x
  3. Step 3: Cross multiply
    205.88x = 308.21 × 194.36
  4. Step 4: Simplify right side
    205.88x = 59,901.18
  5. Step 5: Solve for x
    x = 59,901.18/205.88
  6. Step 6: Final answer
    x = 290.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.