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Finding the Fourth Proportional to 205.48, 308.22 and 82.07

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Solution

The fourth proportional to 205.48, 308.22 and 82.07 is: 123.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.48 : 308.22 = 82.07 : x
  2. Step 2: Convert to fraction form
    205.48/308.22 = 82.07/x
  3. Step 3: Cross multiply
    205.48x = 308.22 × 82.07
  4. Step 4: Simplify right side
    205.48x = 25,296.39
  5. Step 5: Solve for x
    x = 25,296.39/205.48
  6. Step 6: Final answer
    x = 123.11

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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.