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Finding the Fourth Proportional to 306.48, 422.67 and 208.22

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Solution

The fourth proportional to 306.48, 422.67 and 208.22 is: 287.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.48 : 422.67 = 208.22 : x
  2. Step 2: Convert to fraction form
    306.48/422.67 = 208.22/x
  3. Step 3: Cross multiply
    306.48x = 422.67 × 208.22
  4. Step 4: Simplify right side
    306.48x = 88,008.22
  5. Step 5: Solve for x
    x = 88,008.22/306.48
  6. Step 6: Final answer
    x = 287.15

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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.