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Finding the Fourth Proportional to 290.98, 401.79 and 197.92

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Solution

The fourth proportional to 290.98, 401.79 and 197.92 is: 273.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.98 : 401.79 = 197.92 : x
  2. Step 2: Convert to fraction form
    290.98/401.79 = 197.92/x
  3. Step 3: Cross multiply
    290.98x = 401.79 × 197.92
  4. Step 4: Simplify right side
    290.98x = 79,522.28
  5. Step 5: Solve for x
    x = 79,522.28/290.98
  6. Step 6: Final answer
    x = 273.29

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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.