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Finding the Fourth Proportional to 293.09, 404.81 and 194.67

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Solution

The fourth proportional to 293.09, 404.81 and 194.67 is: 268.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.09 : 404.81 = 194.67 : x
  2. Step 2: Convert to fraction form
    293.09/404.81 = 194.67/x
  3. Step 3: Cross multiply
    293.09x = 404.81 × 194.67
  4. Step 4: Simplify right side
    293.09x = 78,803.39
  5. Step 5: Solve for x
    x = 78,803.39/293.09
  6. Step 6: Final answer
    x = 268.88

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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.