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Finding the Fourth Proportional to 190.09, 285.05 and 113.07

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Solution

The fourth proportional to 190.09, 285.05 and 113.07 is: 169.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.09 : 285.05 = 113.07 : x
  2. Step 2: Convert to fraction form
    190.09/285.05 = 113.07/x
  3. Step 3: Cross multiply
    190.09x = 285.05 × 113.07
  4. Step 4: Simplify right side
    190.09x = 32,228.90
  5. Step 5: Solve for x
    x = 32,228.90/190.09
  6. Step 6: Final answer
    x = 169.54

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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.