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Finding the Fourth Proportional to 190.86, 285.93 and 145.09

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Solution

The fourth proportional to 190.86, 285.93 and 145.09 is: 217.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.86 : 285.93 = 145.09 : x
  2. Step 2: Convert to fraction form
    190.86/285.93 = 145.09/x
  3. Step 3: Cross multiply
    190.86x = 285.93 × 145.09
  4. Step 4: Simplify right side
    190.86x = 41,485.94
  5. Step 5: Solve for x
    x = 41,485.94/190.86
  6. Step 6: Final answer
    x = 217.37

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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.