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Finding the Fourth Proportional to 190.32, 285.57 and 142.32

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Solution

The fourth proportional to 190.32, 285.57 and 142.32 is: 213.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.32 : 285.57 = 142.32 : x
  2. Step 2: Convert to fraction form
    190.32/285.57 = 142.32/x
  3. Step 3: Cross multiply
    190.32x = 285.57 × 142.32
  4. Step 4: Simplify right side
    190.32x = 40,642.32
  5. Step 5: Solve for x
    x = 40,642.32/190.32
  6. Step 6: Final answer
    x = 213.55

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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.