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Finding the Fourth Proportional to 297.81, 447.05 and 194.87

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Solution

The fourth proportional to 297.81, 447.05 and 194.87 is: 292.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.81 : 447.05 = 194.87 : x
  2. Step 2: Convert to fraction form
    297.81/447.05 = 194.87/x
  3. Step 3: Cross multiply
    297.81x = 447.05 × 194.87
  4. Step 4: Simplify right side
    297.81x = 87,118.24
  5. Step 5: Solve for x
    x = 87,118.24/297.81
  6. Step 6: Final answer
    x = 292.53

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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.