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Finding the Fourth Proportional to 215.35, 323.33 and 160.67

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Solution

The fourth proportional to 215.35, 323.33 and 160.67 is: 241.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.35 : 323.33 = 160.67 : x
  2. Step 2: Convert to fraction form
    215.35/323.33 = 160.67/x
  3. Step 3: Cross multiply
    215.35x = 323.33 × 160.67
  4. Step 4: Simplify right side
    215.35x = 51,949.44
  5. Step 5: Solve for x
    x = 51,949.44/215.35
  6. Step 6: Final answer
    x = 241.24

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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.