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Finding the Fourth Proportional to 231.20, 348.44 and 216.80

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Solution

The fourth proportional to 231.20, 348.44 and 216.80 is: 326.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.20 : 348.44 = 216.80 : x
  2. Step 2: Convert to fraction form
    231.20/348.44 = 216.80/x
  3. Step 3: Cross multiply
    231.20x = 348.44 × 216.80
  4. Step 4: Simplify right side
    231.20x = 75,541.79
  5. Step 5: Solve for x
    x = 75,541.79/231.20
  6. Step 6: Final answer
    x = 326.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.