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Finding the Fourth Proportional to 205.53, 308.08 and 97.19

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Solution

The fourth proportional to 205.53, 308.08 and 97.19 is: 145.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.53 : 308.08 = 97.19 : x
  2. Step 2: Convert to fraction form
    205.53/308.08 = 97.19/x
  3. Step 3: Cross multiply
    205.53x = 308.08 × 97.19
  4. Step 4: Simplify right side
    205.53x = 29,942.30
  5. Step 5: Solve for x
    x = 29,942.30/205.53
  6. Step 6: Final answer
    x = 145.68

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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.