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Finding the Fourth Proportional to 306.78, 422.78 and 223.65

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Solution

The fourth proportional to 306.78, 422.78 and 223.65 is: 308.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.78 : 422.78 = 223.65 : x
  2. Step 2: Convert to fraction form
    306.78/422.78 = 223.65/x
  3. Step 3: Cross multiply
    306.78x = 422.78 × 223.65
  4. Step 4: Simplify right side
    306.78x = 94,554.75
  5. Step 5: Solve for x
    x = 94,554.75/306.78
  6. Step 6: Final answer
    x = 308.22

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