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Finding the Fourth Proportional to 306.48, 422.85 and 223.70

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Solution

The fourth proportional to 306.48, 422.85 and 223.70 is: 308.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.48 : 422.85 = 223.70 : x
  2. Step 2: Convert to fraction form
    306.48/422.85 = 223.70/x
  3. Step 3: Cross multiply
    306.48x = 422.85 × 223.70
  4. Step 4: Simplify right side
    306.48x = 94,590.27
  5. Step 5: Solve for x
    x = 94,590.27/306.48
  6. Step 6: Final answer
    x = 308.63

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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.