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Finding the Fourth Proportional to 190.70, 263.14 and 161.54

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Solution

The fourth proportional to 190.70, 263.14 and 161.54 is: 222.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.70 : 263.14 = 161.54 : x
  2. Step 2: Convert to fraction form
    190.70/263.14 = 161.54/x
  3. Step 3: Cross multiply
    190.70x = 263.14 × 161.54
  4. Step 4: Simplify right side
    190.70x = 42,505.92
  5. Step 5: Solve for x
    x = 42,505.92/190.70
  6. Step 6: Final answer
    x = 222.90

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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.