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Finding the Fourth Proportional to 193.82, 290.75 and 102.48

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Solution

The fourth proportional to 193.82, 290.75 and 102.48 is: 153.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.82 : 290.75 = 102.48 : x
  2. Step 2: Convert to fraction form
    193.82/290.75 = 102.48/x
  3. Step 3: Cross multiply
    193.82x = 290.75 × 102.48
  4. Step 4: Simplify right side
    193.82x = 29,795.55
  5. Step 5: Solve for x
    x = 29,795.55/193.82
  6. Step 6: Final answer
    x = 153.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.