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Finding the Fourth Proportional to 320.83, 442.76 and 196.49

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Solution

The fourth proportional to 320.83, 442.76 and 196.49 is: 271.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.83 : 442.76 = 196.49 : x
  2. Step 2: Convert to fraction form
    320.83/442.76 = 196.49/x
  3. Step 3: Cross multiply
    320.83x = 442.76 × 196.49
  4. Step 4: Simplify right side
    320.83x = 86,997.42
  5. Step 5: Solve for x
    x = 86,997.42/320.83
  6. Step 6: Final answer
    x = 271.16

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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.