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Finding the Fourth Proportional to 379.16, 523.23 and 221.84

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Solution

The fourth proportional to 379.16, 523.23 and 221.84 is: 306.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.16 : 523.23 = 221.84 : x
  2. Step 2: Convert to fraction form
    379.16/523.23 = 221.84/x
  3. Step 3: Cross multiply
    379.16x = 523.23 × 221.84
  4. Step 4: Simplify right side
    379.16x = 116,073.73
  5. Step 5: Solve for x
    x = 116,073.73/379.16
  6. Step 6: Final answer
    x = 306.14

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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.