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Finding the Fourth Proportional to 193.81, 290.25 and 112.41

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Solution

The fourth proportional to 193.81, 290.25 and 112.41 is: 168.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.81 : 290.25 = 112.41 : x
  2. Step 2: Convert to fraction form
    193.81/290.25 = 112.41/x
  3. Step 3: Cross multiply
    193.81x = 290.25 × 112.41
  4. Step 4: Simplify right side
    193.81x = 32,627.00
  5. Step 5: Solve for x
    x = 32,627.00/193.81
  6. Step 6: Final answer
    x = 168.35

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