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Finding the Fourth Proportional to 231.53, 318.77 and 196.48

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Solution

The fourth proportional to 231.53, 318.77 and 196.48 is: 270.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.53 : 318.77 = 196.48 : x
  2. Step 2: Convert to fraction form
    231.53/318.77 = 196.48/x
  3. Step 3: Cross multiply
    231.53x = 318.77 × 196.48
  4. Step 4: Simplify right side
    231.53x = 62,631.93
  5. Step 5: Solve for x
    x = 62,631.93/231.53
  6. Step 6: Final answer
    x = 270.52

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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.