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Finding the Fourth Proportional to 193.50, 266.85 and 190.26

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Solution

The fourth proportional to 193.50, 266.85 and 190.26 is: 262.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.50 : 266.85 = 190.26 : x
  2. Step 2: Convert to fraction form
    193.50/266.85 = 190.26/x
  3. Step 3: Cross multiply
    193.50x = 266.85 × 190.26
  4. Step 4: Simplify right side
    193.50x = 50,770.88
  5. Step 5: Solve for x
    x = 50,770.88/193.50
  6. Step 6: Final answer
    x = 262.38

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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.