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Finding the Fourth Proportional to 205.94, 308.49 and 97.40

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Solution

The fourth proportional to 205.94, 308.49 and 97.40 is: 145.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.94 : 308.49 = 97.40 : x
  2. Step 2: Convert to fraction form
    205.94/308.49 = 97.40/x
  3. Step 3: Cross multiply
    205.94x = 308.49 × 97.40
  4. Step 4: Simplify right side
    205.94x = 30,046.93
  5. Step 5: Solve for x
    x = 30,046.93/205.94
  6. Step 6: Final answer
    x = 145.90

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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.