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Finding the Fourth Proportional to 231.24, 318.88 and 196.23

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Solution

The fourth proportional to 231.24, 318.88 and 196.23 is: 270.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.24 : 318.88 = 196.23 : x
  2. Step 2: Convert to fraction form
    231.24/318.88 = 196.23/x
  3. Step 3: Cross multiply
    231.24x = 318.88 × 196.23
  4. Step 4: Simplify right side
    231.24x = 62,571.74
  5. Step 5: Solve for x
    x = 62,571.74/231.24
  6. Step 6: Final answer
    x = 270.60

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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.