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Finding the Fourth Proportional to 306.53, 422.74 and 208.27

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Solution

The fourth proportional to 306.53, 422.74 and 208.27 is: 287.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.53 : 422.74 = 208.27 : x
  2. Step 2: Convert to fraction form
    306.53/422.74 = 208.27/x
  3. Step 3: Cross multiply
    306.53x = 422.74 × 208.27
  4. Step 4: Simplify right side
    306.53x = 88,045.43
  5. Step 5: Solve for x
    x = 88,045.43/306.53
  6. Step 6: Final answer
    x = 287.23

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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.