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Finding the Fourth Proportional to 190.20, 285.02 and 142.08

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Solution

The fourth proportional to 190.20, 285.02 and 142.08 is: 212.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.20 : 285.02 = 142.08 : x
  2. Step 2: Convert to fraction form
    190.20/285.02 = 142.08/x
  3. Step 3: Cross multiply
    190.20x = 285.02 × 142.08
  4. Step 4: Simplify right side
    190.20x = 40,495.64
  5. Step 5: Solve for x
    x = 40,495.64/190.20
  6. Step 6: Final answer
    x = 212.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.