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Finding the Fourth Proportional to 193.41, 266.99 and 119.84

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Solution

The fourth proportional to 193.41, 266.99 and 119.84 is: 165.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.41 : 266.99 = 119.84 : x
  2. Step 2: Convert to fraction form
    193.41/266.99 = 119.84/x
  3. Step 3: Cross multiply
    193.41x = 266.99 × 119.84
  4. Step 4: Simplify right side
    193.41x = 31,994.15
  5. Step 5: Solve for x
    x = 31,994.15/193.41
  6. Step 6: Final answer
    x = 165.42

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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.