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Finding the Fourth Proportional to 190.20, 285.03 and 142.05

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Solution

The fourth proportional to 190.20, 285.03 and 142.05 is: 212.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.20 : 285.03 = 142.05 : x
  2. Step 2: Convert to fraction form
    190.20/285.03 = 142.05/x
  3. Step 3: Cross multiply
    190.20x = 285.03 × 142.05
  4. Step 4: Simplify right side
    190.20x = 40,488.51
  5. Step 5: Solve for x
    x = 40,488.51/190.20
  6. Step 6: Final answer
    x = 212.87

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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.