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Finding the Fourth Proportional to 190.89, 263.48 and 112.21

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Solution

The fourth proportional to 190.89, 263.48 and 112.21 is: 154.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.89 : 263.48 = 112.21 : x
  2. Step 2: Convert to fraction form
    190.89/263.48 = 112.21/x
  3. Step 3: Cross multiply
    190.89x = 263.48 × 112.21
  4. Step 4: Simplify right side
    190.89x = 29,564.86
  5. Step 5: Solve for x
    x = 29,564.86/190.89
  6. Step 6: Final answer
    x = 154.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.