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Finding the Fourth Proportional to 213.45, 320.26 and 110.67

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Solution

The fourth proportional to 213.45, 320.26 and 110.67 is: 166.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.45 : 320.26 = 110.67 : x
  2. Step 2: Convert to fraction form
    213.45/320.26 = 110.67/x
  3. Step 3: Cross multiply
    213.45x = 320.26 × 110.67
  4. Step 4: Simplify right side
    213.45x = 35,442.90
  5. Step 5: Solve for x
    x = 35,442.90/213.45
  6. Step 6: Final answer
    x = 166.05

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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.