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Finding the Fourth Proportional to 321.57, 482.96 and 200.67

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Solution

The fourth proportional to 321.57, 482.96 and 200.67 is: 301.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.57 : 482.96 = 200.67 : x
  2. Step 2: Convert to fraction form
    321.57/482.96 = 200.67/x
  3. Step 3: Cross multiply
    321.57x = 482.96 × 200.67
  4. Step 4: Simplify right side
    321.57x = 96,915.58
  5. Step 5: Solve for x
    x = 96,915.58/321.57
  6. Step 6: Final answer
    x = 301.38

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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.