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Finding the Fourth Proportional to 306.03, 422.50 and 206.62

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Solution

The fourth proportional to 306.03, 422.50 and 206.62 is: 285.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.03 : 422.50 = 206.62 : x
  2. Step 2: Convert to fraction form
    306.03/422.50 = 206.62/x
  3. Step 3: Cross multiply
    306.03x = 422.50 × 206.62
  4. Step 4: Simplify right side
    306.03x = 87,295.76
  5. Step 5: Solve for x
    x = 87,295.76/306.03
  6. Step 6: Final answer
    x = 285.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.