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Finding the Fourth Proportional to 320.48, 442.12 and 196.18

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Solution

The fourth proportional to 320.48, 442.12 and 196.18 is: 270.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.48 : 442.12 = 196.18 : x
  2. Step 2: Convert to fraction form
    320.48/442.12 = 196.18/x
  3. Step 3: Cross multiply
    320.48x = 442.12 × 196.18
  4. Step 4: Simplify right side
    320.48x = 86,735.10
  5. Step 5: Solve for x
    x = 86,735.10/320.48
  6. Step 6: Final answer
    x = 270.64

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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.