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Finding the Fourth Proportional to 205.92, 306.72 and 194.40

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Solution

The fourth proportional to 205.92, 306.72 and 194.40 is: 289.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.92 : 306.72 = 194.40 : x
  2. Step 2: Convert to fraction form
    205.92/306.72 = 194.40/x
  3. Step 3: Cross multiply
    205.92x = 306.72 × 194.40
  4. Step 4: Simplify right side
    205.92x = 59,626.37
  5. Step 5: Solve for x
    x = 59,626.37/205.92
  6. Step 6: Final answer
    x = 289.56

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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.