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Finding the Fourth Proportional to 263.84, 364.23 and 190.33

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Solution

The fourth proportional to 263.84, 364.23 and 190.33 is: 262.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.84 : 364.23 = 190.33 : x
  2. Step 2: Convert to fraction form
    263.84/364.23 = 190.33/x
  3. Step 3: Cross multiply
    263.84x = 364.23 × 190.33
  4. Step 4: Simplify right side
    263.84x = 69,321.12
  5. Step 5: Solve for x
    x = 69,321.12/263.84
  6. Step 6: Final answer
    x = 262.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.