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Finding the Fourth Proportional to 205.82, 308.78 and 120.26

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Solution

The fourth proportional to 205.82, 308.78 and 120.26 is: 180.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.82 : 308.78 = 120.26 : x
  2. Step 2: Convert to fraction form
    205.82/308.78 = 120.26/x
  3. Step 3: Cross multiply
    205.82x = 308.78 × 120.26
  4. Step 4: Simplify right side
    205.82x = 37,133.88
  5. Step 5: Solve for x
    x = 37,133.88/205.82
  6. Step 6: Final answer
    x = 180.42

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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.