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Finding the Fourth Proportional to 306.99, 423.36 and 196.56

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Solution

The fourth proportional to 306.99, 423.36 and 196.56 is: 271.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.99 : 423.36 = 196.56 : x
  2. Step 2: Convert to fraction form
    306.99/423.36 = 196.56/x
  3. Step 3: Cross multiply
    306.99x = 423.36 × 196.56
  4. Step 4: Simplify right side
    306.99x = 83,215.64
  5. Step 5: Solve for x
    x = 83,215.64/306.99
  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.