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Finding the Fourth Proportional to 282.28, 421.97 and 196.84

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Solution

The fourth proportional to 282.28, 421.97 and 196.84 is: 294.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.28 : 421.97 = 196.84 : x
  2. Step 2: Convert to fraction form
    282.28/421.97 = 196.84/x
  3. Step 3: Cross multiply
    282.28x = 421.97 × 196.84
  4. Step 4: Simplify right side
    282.28x = 83,060.57
  5. Step 5: Solve for x
    x = 83,060.57/282.28
  6. Step 6: Final answer
    x = 294.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.