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Finding the Fourth Proportional to 306.14, 422.84 and 223.12

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Solution

The fourth proportional to 306.14, 422.84 and 223.12 is: 308.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.14 : 422.84 = 223.12 : x
  2. Step 2: Convert to fraction form
    306.14/422.84 = 223.12/x
  3. Step 3: Cross multiply
    306.14x = 422.84 × 223.12
  4. Step 4: Simplify right side
    306.14x = 94,344.06
  5. Step 5: Solve for x
    x = 94,344.06/306.14
  6. Step 6: Final answer
    x = 308.17

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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.