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Finding the Fourth Proportional to 289.92, 434.04 and 193.56

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Solution

The fourth proportional to 289.92, 434.04 and 193.56 is: 289.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.92 : 434.04 = 193.56 : x
  2. Step 2: Convert to fraction form
    289.92/434.04 = 193.56/x
  3. Step 3: Cross multiply
    289.92x = 434.04 × 193.56
  4. Step 4: Simplify right side
    289.92x = 84,012.78
  5. Step 5: Solve for x
    x = 84,012.78/289.92
  6. Step 6: Final answer
    x = 289.78

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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.