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Finding the Fourth Proportional to 293.08, 404.14 and 194.68

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Solution

The fourth proportional to 293.08, 404.14 and 194.68 is: 268.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.08 : 404.14 = 194.68 : x
  2. Step 2: Convert to fraction form
    293.08/404.14 = 194.68/x
  3. Step 3: Cross multiply
    293.08x = 404.14 × 194.68
  4. Step 4: Simplify right side
    293.08x = 78,677.98
  5. Step 5: Solve for x
    x = 78,677.98/293.08
  6. Step 6: Final answer
    x = 268.45

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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.