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Finding the Fourth Proportional to 193.70, 266.94 and 190.19

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Solution

The fourth proportional to 193.70, 266.94 and 190.19 is: 262.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.70 : 266.94 = 190.19 : x
  2. Step 2: Convert to fraction form
    193.70/266.94 = 190.19/x
  3. Step 3: Cross multiply
    193.70x = 266.94 × 190.19
  4. Step 4: Simplify right side
    193.70x = 50,769.32
  5. Step 5: Solve for x
    x = 50,769.32/193.70
  6. Step 6: Final answer
    x = 262.10

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