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Finding the Fourth Proportional to 306.41, 422.36 and 223.38

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Solution

The fourth proportional to 306.41, 422.36 and 223.38 is: 307.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.41 : 422.36 = 223.38 : x
  2. Step 2: Convert to fraction form
    306.41/422.36 = 223.38/x
  3. Step 3: Cross multiply
    306.41x = 422.36 × 223.38
  4. Step 4: Simplify right side
    306.41x = 94,345.66
  5. Step 5: Solve for x
    x = 94,345.66/306.41
  6. Step 6: Final answer
    x = 307.91

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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.