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Finding the Fourth Proportional to 263.07, 361.02 and 238.44

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Solution

The fourth proportional to 263.07, 361.02 and 238.44 is: 327.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.07 : 361.02 = 238.44 : x
  2. Step 2: Convert to fraction form
    263.07/361.02 = 238.44/x
  3. Step 3: Cross multiply
    263.07x = 361.02 × 238.44
  4. Step 4: Simplify right side
    263.07x = 86,081.61
  5. Step 5: Solve for x
    x = 86,081.61/263.07
  6. Step 6: Final answer
    x = 327.22

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.