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Finding the Fourth Proportional to 213.82, 320.37 and 136.60

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Solution

The fourth proportional to 213.82, 320.37 and 136.60 is: 204.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.82 : 320.37 = 136.60 : x
  2. Step 2: Convert to fraction form
    213.82/320.37 = 136.60/x
  3. Step 3: Cross multiply
    213.82x = 320.37 × 136.60
  4. Step 4: Simplify right side
    213.82x = 43,762.54
  5. Step 5: Solve for x
    x = 43,762.54/213.82
  6. Step 6: Final answer
    x = 204.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.