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Finding the Fourth Proportional to 193.99, 290.99 and 121.90

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Solution

The fourth proportional to 193.99, 290.99 and 121.90 is: 182.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.99 : 290.99 = 121.90 : x
  2. Step 2: Convert to fraction form
    193.99/290.99 = 121.90/x
  3. Step 3: Cross multiply
    193.99x = 290.99 × 121.90
  4. Step 4: Simplify right side
    193.99x = 35,472.41
  5. Step 5: Solve for x
    x = 35,472.41/193.99
  6. Step 6: Final answer
    x = 182.85

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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.