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Finding the Fourth Proportional to 190.26, 284.88 and 112.11

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Solution

The fourth proportional to 190.26, 284.88 and 112.11 is: 167.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.26 : 284.88 = 112.11 : x
  2. Step 2: Convert to fraction form
    190.26/284.88 = 112.11/x
  3. Step 3: Cross multiply
    190.26x = 284.88 × 112.11
  4. Step 4: Simplify right side
    190.26x = 31,937.90
  5. Step 5: Solve for x
    x = 31,937.90/190.26
  6. Step 6: Final answer
    x = 167.86

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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.