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Finding the Fourth Proportional to 205.46, 308.06 and 82.03

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Solution

The fourth proportional to 205.46, 308.06 and 82.03 is: 122.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.46 : 308.06 = 82.03 : x
  2. Step 2: Convert to fraction form
    205.46/308.06 = 82.03/x
  3. Step 3: Cross multiply
    205.46x = 308.06 × 82.03
  4. Step 4: Simplify right side
    205.46x = 25,268.21
  5. Step 5: Solve for x
    x = 25,268.21/205.46
  6. Step 6: Final answer
    x = 122.98

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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.