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Finding the Fourth Proportional to 193.82, 290.79 and 78.23

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Solution

The fourth proportional to 193.82, 290.79 and 78.23 is: 117.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.82 : 290.79 = 78.23 : x
  2. Step 2: Convert to fraction form
    193.82/290.79 = 78.23/x
  3. Step 3: Cross multiply
    193.82x = 290.79 × 78.23
  4. Step 4: Simplify right side
    193.82x = 22,749.23
  5. Step 5: Solve for x
    x = 22,749.23/193.82
  6. Step 6: Final answer
    x = 117.38

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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.