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Finding the Fourth Proportional to 193.56, 290.44 and 120.46

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Solution

The fourth proportional to 193.56, 290.44 and 120.46 is: 180.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.56 : 290.44 = 120.46 : x
  2. Step 2: Convert to fraction form
    193.56/290.44 = 120.46/x
  3. Step 3: Cross multiply
    193.56x = 290.44 × 120.46
  4. Step 4: Simplify right side
    193.56x = 34,986.40
  5. Step 5: Solve for x
    x = 34,986.40/193.56
  6. Step 6: Final answer
    x = 180.75

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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.