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Finding the Fourth Proportional to 206.12, 306.69 and 201.80

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Solution

The fourth proportional to 206.12, 306.69 and 201.80 is: 300.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.12 : 306.69 = 201.80 : x
  2. Step 2: Convert to fraction form
    206.12/306.69 = 201.80/x
  3. Step 3: Cross multiply
    206.12x = 306.69 × 201.80
  4. Step 4: Simplify right side
    206.12x = 61,890.04
  5. Step 5: Solve for x
    x = 61,890.04/206.12
  6. Step 6: Final answer
    x = 300.26

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