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Finding the Fourth Proportional to 241.38, 362.07 and 213.23

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Solution

The fourth proportional to 241.38, 362.07 and 213.23 is: 319.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.38 : 362.07 = 213.23 : x
  2. Step 2: Convert to fraction form
    241.38/362.07 = 213.23/x
  3. Step 3: Cross multiply
    241.38x = 362.07 × 213.23
  4. Step 4: Simplify right side
    241.38x = 77,205.09
  5. Step 5: Solve for x
    x = 77,205.09/241.38
  6. Step 6: Final answer
    x = 319.85

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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.