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Finding the Fourth Proportional to 190.49, 284.36 and 167.42

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Solution

The fourth proportional to 190.49, 284.36 and 167.42 is: 249.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.49 : 284.36 = 167.42 : x
  2. Step 2: Convert to fraction form
    190.49/284.36 = 167.42/x
  3. Step 3: Cross multiply
    190.49x = 284.36 × 167.42
  4. Step 4: Simplify right side
    190.49x = 47,607.42
  5. Step 5: Solve for x
    x = 47,607.42/190.49
  6. Step 6: Final answer
    x = 249.92

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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.