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Finding the Fourth Proportional to 193.30, 266.74 and 105.97

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Solution

The fourth proportional to 193.30, 266.74 and 105.97 is: 146.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.30 : 266.74 = 105.97 : x
  2. Step 2: Convert to fraction form
    193.30/266.74 = 105.97/x
  3. Step 3: Cross multiply
    193.30x = 266.74 × 105.97
  4. Step 4: Simplify right side
    193.30x = 28,266.44
  5. Step 5: Solve for x
    x = 28,266.44/193.30
  6. Step 6: Final answer
    x = 146.23

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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.