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Finding the Fourth Proportional to 231.66, 345.60 and 213.44

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Solution

The fourth proportional to 231.66, 345.60 and 213.44 is: 318.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.66 : 345.60 = 213.44 : x
  2. Step 2: Convert to fraction form
    231.66/345.60 = 213.44/x
  3. Step 3: Cross multiply
    231.66x = 345.60 × 213.44
  4. Step 4: Simplify right side
    231.66x = 73,763.14
  5. Step 5: Solve for x
    x = 73,763.14/231.66
  6. Step 6: Final answer
    x = 318.41

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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.