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Finding the Fourth Proportional to 190.41, 285.64 and 121.99

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Solution

The fourth proportional to 190.41, 285.64 and 121.99 is: 183.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.41 : 285.64 = 121.99 : x
  2. Step 2: Convert to fraction form
    190.41/285.64 = 121.99/x
  3. Step 3: Cross multiply
    190.41x = 285.64 × 121.99
  4. Step 4: Simplify right side
    190.41x = 34,845.22
  5. Step 5: Solve for x
    x = 34,845.22/190.41
  6. Step 6: Final answer
    x = 183.00

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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.