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Finding the Fourth Proportional to 297.70, 446.78 and 194.96

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Solution

The fourth proportional to 297.70, 446.78 and 194.96 is: 292.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.70 : 446.78 = 194.96 : x
  2. Step 2: Convert to fraction form
    297.70/446.78 = 194.96/x
  3. Step 3: Cross multiply
    297.70x = 446.78 × 194.96
  4. Step 4: Simplify right side
    297.70x = 87,104.23
  5. Step 5: Solve for x
    x = 87,104.23/297.70
  6. Step 6: Final answer
    x = 292.59

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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.