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Finding the Fourth Proportional to 241.67, 362.31 and 190.19

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Solution

The fourth proportional to 241.67, 362.31 and 190.19 is: 285.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.67 : 362.31 = 190.19 : x
  2. Step 2: Convert to fraction form
    241.67/362.31 = 190.19/x
  3. Step 3: Cross multiply
    241.67x = 362.31 × 190.19
  4. Step 4: Simplify right side
    241.67x = 68,905.93
  5. Step 5: Solve for x
    x = 68,905.93/241.67
  6. Step 6: Final answer
    x = 285.13

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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.