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Finding the Fourth Proportional to 193.12, 266.51 and 119.44

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Solution

The fourth proportional to 193.12, 266.51 and 119.44 is: 164.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.12 : 266.51 = 119.44 : x
  2. Step 2: Convert to fraction form
    193.12/266.51 = 119.44/x
  3. Step 3: Cross multiply
    193.12x = 266.51 × 119.44
  4. Step 4: Simplify right side
    193.12x = 31,831.95
  5. Step 5: Solve for x
    x = 31,831.95/193.12
  6. Step 6: Final answer
    x = 164.83

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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.