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Finding the Fourth Proportional to 320.38, 442.20 and 189.44

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Solution

The fourth proportional to 320.38, 442.20 and 189.44 is: 261.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.38 : 442.20 = 189.44 : x
  2. Step 2: Convert to fraction form
    320.38/442.20 = 189.44/x
  3. Step 3: Cross multiply
    320.38x = 442.20 × 189.44
  4. Step 4: Simplify right side
    320.38x = 83,770.37
  5. Step 5: Solve for x
    x = 83,770.37/320.38
  6. Step 6: Final answer
    x = 261.47

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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.