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Finding the Fourth Proportional to 262.90, 362.81 and 161.98

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Solution

The fourth proportional to 262.90, 362.81 and 161.98 is: 223.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.90 : 362.81 = 161.98 : x
  2. Step 2: Convert to fraction form
    262.90/362.81 = 161.98/x
  3. Step 3: Cross multiply
    262.90x = 362.81 × 161.98
  4. Step 4: Simplify right side
    262.90x = 58,768.30
  5. Step 5: Solve for x
    x = 58,768.30/262.90
  6. Step 6: Final answer
    x = 223.54

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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.