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Finding the Fourth Proportional to 190.04, 285.20 and 142.07

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Solution

The fourth proportional to 190.04, 285.20 and 142.07 is: 213.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.04 : 285.20 = 142.07 : x
  2. Step 2: Convert to fraction form
    190.04/285.20 = 142.07/x
  3. Step 3: Cross multiply
    190.04x = 285.20 × 142.07
  4. Step 4: Simplify right side
    190.04x = 40,517.65
  5. Step 5: Solve for x
    x = 40,517.65/190.04
  6. Step 6: Final answer
    x = 213.21

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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.