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Finding the Fourth Proportional to 286.04, 394.62 and 161.67

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Solution

The fourth proportional to 286.04, 394.62 and 161.67 is: 223.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.04 : 394.62 = 161.67 : x
  2. Step 2: Convert to fraction form
    286.04/394.62 = 161.67/x
  3. Step 3: Cross multiply
    286.04x = 394.62 × 161.67
  4. Step 4: Simplify right side
    286.04x = 63,796.24
  5. Step 5: Solve for x
    x = 63,796.24/286.04
  6. Step 6: Final answer
    x = 223.03

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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.