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Finding the Fourth Proportional to 289.38, 434.16 and 220.98

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Solution

The fourth proportional to 289.38, 434.16 and 220.98 is: 331.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.38 : 434.16 = 220.98 : x
  2. Step 2: Convert to fraction form
    289.38/434.16 = 220.98/x
  3. Step 3: Cross multiply
    289.38x = 434.16 × 220.98
  4. Step 4: Simplify right side
    289.38x = 95,940.68
  5. Step 5: Solve for x
    x = 95,940.68/289.38
  6. Step 6: Final answer
    x = 331.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.