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Finding the Fourth Proportional to 481.16, 721.15 and 206.67

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Solution

The fourth proportional to 481.16, 721.15 and 206.67 is: 309.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.16 : 721.15 = 206.67 : x
  2. Step 2: Convert to fraction form
    481.16/721.15 = 206.67/x
  3. Step 3: Cross multiply
    481.16x = 721.15 × 206.67
  4. Step 4: Simplify right side
    481.16x = 149,040.07
  5. Step 5: Solve for x
    x = 149,040.07/481.16
  6. Step 6: Final answer
    x = 309.75

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Why These Related Problems?

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