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Finding the Fourth Proportional to 306.98, 423.62 and 196.49

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Solution

The fourth proportional to 306.98, 423.62 and 196.49 is: 271.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.98 : 423.62 = 196.49 : x
  2. Step 2: Convert to fraction form
    306.98/423.62 = 196.49/x
  3. Step 3: Cross multiply
    306.98x = 423.62 × 196.49
  4. Step 4: Simplify right side
    306.98x = 83,235.84
  5. Step 5: Solve for x
    x = 83,235.84/306.98
  6. Step 6: Final answer
    x = 271.15

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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.