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Finding the Fourth Proportional to 205.50, 308.28 and 97.23

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Solution

The fourth proportional to 205.50, 308.28 and 97.23 is: 145.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.50 : 308.28 = 97.23 : x
  2. Step 2: Convert to fraction form
    205.50/308.28 = 97.23/x
  3. Step 3: Cross multiply
    205.50x = 308.28 × 97.23
  4. Step 4: Simplify right side
    205.50x = 29,974.06
  5. Step 5: Solve for x
    x = 29,974.06/205.50
  6. Step 6: Final answer
    x = 145.86

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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.