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Finding the Fourth Proportional to 306.72, 423.20 and 196.16

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Solution

The fourth proportional to 306.72, 423.20 and 196.16 is: 270.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.72 : 423.20 = 196.16 : x
  2. Step 2: Convert to fraction form
    306.72/423.20 = 196.16/x
  3. Step 3: Cross multiply
    306.72x = 423.20 × 196.16
  4. Step 4: Simplify right side
    306.72x = 83,014.91
  5. Step 5: Solve for x
    x = 83,014.91/306.72
  6. Step 6: Final answer
    x = 270.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.