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Finding the Fourth Proportional to 320.43, 442.06 and 195.99

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Solution

The fourth proportional to 320.43, 442.06 and 195.99 is: 270.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.43 : 442.06 = 195.99 : x
  2. Step 2: Convert to fraction form
    320.43/442.06 = 195.99/x
  3. Step 3: Cross multiply
    320.43x = 442.06 × 195.99
  4. Step 4: Simplify right side
    320.43x = 86,639.34
  5. Step 5: Solve for x
    x = 86,639.34/320.43
  6. Step 6: Final answer
    x = 270.38

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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.