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Finding the Fourth Proportional to 306.64, 423.08 and 196.23

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Solution

The fourth proportional to 306.64, 423.08 and 196.23 is: 270.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.64 : 423.08 = 196.23 : x
  2. Step 2: Convert to fraction form
    306.64/423.08 = 196.23/x
  3. Step 3: Cross multiply
    306.64x = 423.08 × 196.23
  4. Step 4: Simplify right side
    306.64x = 83,020.99
  5. Step 5: Solve for x
    x = 83,020.99/306.64
  6. Step 6: Final answer
    x = 270.74

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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.