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Finding the Fourth Proportional to 241.93, 363.30 and 194.14

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Solution

The fourth proportional to 241.93, 363.30 and 194.14 is: 291.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.93 : 363.30 = 194.14 : x
  2. Step 2: Convert to fraction form
    241.93/363.30 = 194.14/x
  3. Step 3: Cross multiply
    241.93x = 363.30 × 194.14
  4. Step 4: Simplify right side
    241.93x = 70,531.06
  5. Step 5: Solve for x
    x = 70,531.06/241.93
  6. Step 6: Final answer
    x = 291.53

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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.