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Finding the Fourth Proportional to 231.28, 344.76 and 220.80

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Solution

The fourth proportional to 231.28, 344.76 and 220.80 is: 329.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.28 : 344.76 = 220.80 : x
  2. Step 2: Convert to fraction form
    231.28/344.76 = 220.80/x
  3. Step 3: Cross multiply
    231.28x = 344.76 × 220.80
  4. Step 4: Simplify right side
    231.28x = 76,123.01
  5. Step 5: Solve for x
    x = 76,123.01/231.28
  6. Step 6: Final answer
    x = 329.14

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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.