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Finding the Fourth Proportional to 205.17, 306.17 and 194.24

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Solution

The fourth proportional to 205.17, 306.17 and 194.24 is: 289.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.17 : 306.17 = 194.24 : x
  2. Step 2: Convert to fraction form
    205.17/306.17 = 194.24/x
  3. Step 3: Cross multiply
    205.17x = 306.17 × 194.24
  4. Step 4: Simplify right side
    205.17x = 59,467.96
  5. Step 5: Solve for x
    x = 59,467.96/205.17
  6. Step 6: Final answer
    x = 289.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.