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Finding the Fourth Proportional to 205.61, 308.20 and 97.31

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Solution

The fourth proportional to 205.61, 308.20 and 97.31 is: 145.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.61 : 308.20 = 97.31 : x
  2. Step 2: Convert to fraction form
    205.61/308.20 = 97.31/x
  3. Step 3: Cross multiply
    205.61x = 308.20 × 97.31
  4. Step 4: Simplify right side
    205.61x = 29,990.94
  5. Step 5: Solve for x
    x = 29,990.94/205.61
  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.