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Finding the Fourth Proportional to 193.07, 266.19 and 140.57

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Solution

The fourth proportional to 193.07, 266.19 and 140.57 is: 193.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.07 : 266.19 = 140.57 : x
  2. Step 2: Convert to fraction form
    193.07/266.19 = 140.57/x
  3. Step 3: Cross multiply
    193.07x = 266.19 × 140.57
  4. Step 4: Simplify right side
    193.07x = 37,418.33
  5. Step 5: Solve for x
    x = 37,418.33/193.07
  6. Step 6: Final answer
    x = 193.81

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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.