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Finding the Fourth Proportional to 320.36, 442.14 and 195.98

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Solution

The fourth proportional to 320.36, 442.14 and 195.98 is: 270.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.36 : 442.14 = 195.98 : x
  2. Step 2: Convert to fraction form
    320.36/442.14 = 195.98/x
  3. Step 3: Cross multiply
    320.36x = 442.14 × 195.98
  4. Step 4: Simplify right side
    320.36x = 86,650.60
  5. Step 5: Solve for x
    x = 86,650.60/320.36
  6. Step 6: Final answer
    x = 270.48

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