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Finding the Fourth Proportional to 293.03, 404.51 and 194.92

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Solution

The fourth proportional to 293.03, 404.51 and 194.92 is: 269.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.03 : 404.51 = 194.92 : x
  2. Step 2: Convert to fraction form
    293.03/404.51 = 194.92/x
  3. Step 3: Cross multiply
    293.03x = 404.51 × 194.92
  4. Step 4: Simplify right side
    293.03x = 78,847.09
  5. Step 5: Solve for x
    x = 78,847.09/293.03
  6. Step 6: Final answer
    x = 269.08

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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.