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Finding the Fourth Proportional to 190.43, 284.25 and 167.36

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Solution

The fourth proportional to 190.43, 284.25 and 167.36 is: 249.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.43 : 284.25 = 167.36 : x
  2. Step 2: Convert to fraction form
    190.43/284.25 = 167.36/x
  3. Step 3: Cross multiply
    190.43x = 284.25 × 167.36
  4. Step 4: Simplify right side
    190.43x = 47,572.08
  5. Step 5: Solve for x
    x = 47,572.08/190.43
  6. Step 6: Final answer
    x = 249.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.