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Finding the Fourth Proportional to 205.50, 306.44 and 190.62

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Solution

The fourth proportional to 205.50, 306.44 and 190.62 is: 284.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.50 : 306.44 = 190.62 : x
  2. Step 2: Convert to fraction form
    205.50/306.44 = 190.62/x
  3. Step 3: Cross multiply
    205.50x = 306.44 × 190.62
  4. Step 4: Simplify right side
    205.50x = 58,412.64
  5. Step 5: Solve for x
    x = 58,412.64/205.50
  6. Step 6: Final answer
    x = 284.25

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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.