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Finding the Fourth Proportional to 205.08, 305.66 and 194.04

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Solution

The fourth proportional to 205.08, 305.66 and 194.04 is: 289.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.08 : 305.66 = 194.04 : x
  2. Step 2: Convert to fraction form
    205.08/305.66 = 194.04/x
  3. Step 3: Cross multiply
    205.08x = 305.66 × 194.04
  4. Step 4: Simplify right side
    205.08x = 59,310.27
  5. Step 5: Solve for x
    x = 59,310.27/205.08
  6. Step 6: Final answer
    x = 289.21

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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.