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Finding the Fourth Proportional to 292.91, 403.97 and 194.49

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Solution

The fourth proportional to 292.91, 403.97 and 194.49 is: 268.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.91 : 403.97 = 194.49 : x
  2. Step 2: Convert to fraction form
    292.91/403.97 = 194.49/x
  3. Step 3: Cross multiply
    292.91x = 403.97 × 194.49
  4. Step 4: Simplify right side
    292.91x = 78,567.15
  5. Step 5: Solve for x
    x = 78,567.15/292.91
  6. Step 6: Final answer
    x = 268.23

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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.