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Finding the Fourth Proportional to 319, 477.84 and 196.92

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Solution

The fourth proportional to 319, 477.84 and 196.92 is: 294.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    319 : 477.84 = 196.92 : x
  2. Step 2: Convert to fraction form
    319/477.84 = 196.92/x
  3. Step 3: Cross multiply
    319x = 477.84 × 196.92
  4. Step 4: Simplify right side
    319x = 94,096.25
  5. Step 5: Solve for x
    x = 94,096.25/319
  6. Step 6: Final answer
    x = 294.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.