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Finding the Fourth Proportional to 306.48, 423.14 and 223.79

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Solution

The fourth proportional to 306.48, 423.14 and 223.79 is: 308.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.48 : 423.14 = 223.79 : x
  2. Step 2: Convert to fraction form
    306.48/423.14 = 223.79/x
  3. Step 3: Cross multiply
    306.48x = 423.14 × 223.79
  4. Step 4: Simplify right side
    306.48x = 94,692.85
  5. Step 5: Solve for x
    x = 94,692.85/306.48
  6. Step 6: Final answer
    x = 308.97

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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.