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Finding the Fourth Proportional to 320.52, 442.26 and 196.14

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Solution

The fourth proportional to 320.52, 442.26 and 196.14 is: 270.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.52 : 442.26 = 196.14 : x
  2. Step 2: Convert to fraction form
    320.52/442.26 = 196.14/x
  3. Step 3: Cross multiply
    320.52x = 442.26 × 196.14
  4. Step 4: Simplify right side
    320.52x = 86,744.88
  5. Step 5: Solve for x
    x = 86,744.88/320.52
  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.