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Finding the Fourth Proportional to 401.88, 602.26 and 196.04

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Solution

The fourth proportional to 401.88, 602.26 and 196.04 is: 293.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.88 : 602.26 = 196.04 : x
  2. Step 2: Convert to fraction form
    401.88/602.26 = 196.04/x
  3. Step 3: Cross multiply
    401.88x = 602.26 × 196.04
  4. Step 4: Simplify right side
    401.88x = 118,067.05
  5. Step 5: Solve for x
    x = 118,067.05/401.88
  6. Step 6: Final answer
    x = 293.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.