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Finding the Fourth Proportional to 320.94, 442.80 and 196.47

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Solution

The fourth proportional to 320.94, 442.80 and 196.47 is: 271.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.94 : 442.80 = 196.47 : x
  2. Step 2: Convert to fraction form
    320.94/442.80 = 196.47/x
  3. Step 3: Cross multiply
    320.94x = 442.80 × 196.47
  4. Step 4: Simplify right side
    320.94x = 86,998.02
  5. Step 5: Solve for x
    x = 86,998.02/320.94
  6. Step 6: Final answer
    x = 271.07

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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.