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Finding the Fourth Proportional to 320.40, 442.02 and 196.02

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Solution

The fourth proportional to 320.40, 442.02 and 196.02 is: 270.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.40 : 442.02 = 196.02 : x
  2. Step 2: Convert to fraction form
    320.40/442.02 = 196.02/x
  3. Step 3: Cross multiply
    320.40x = 442.02 × 196.02
  4. Step 4: Simplify right side
    320.40x = 86,643.78
  5. Step 5: Solve for x
    x = 86,643.78/320.40
  6. Step 6: Final answer
    x = 270.42

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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.