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Finding the Fourth Proportional to 320.67, 442.49 and 204.21

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Solution

The fourth proportional to 320.67, 442.49 and 204.21 is: 281.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.67 : 442.49 = 204.21 : x
  2. Step 2: Convert to fraction form
    320.67/442.49 = 204.21/x
  3. Step 3: Cross multiply
    320.67x = 442.49 × 204.21
  4. Step 4: Simplify right side
    320.67x = 90,359.86
  5. Step 5: Solve for x
    x = 90,359.86/320.67
  6. Step 6: Final answer
    x = 281.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.