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Finding the Fourth Proportional to 190.83, 263.28 and 161.67

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Solution

The fourth proportional to 190.83, 263.28 and 161.67 is: 223.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.83 : 263.28 = 161.67 : x
  2. Step 2: Convert to fraction form
    190.83/263.28 = 161.67/x
  3. Step 3: Cross multiply
    190.83x = 263.28 × 161.67
  4. Step 4: Simplify right side
    190.83x = 42,564.48
  5. Step 5: Solve for x
    x = 42,564.48/190.83
  6. Step 6: Final answer
    x = 223.05

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