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Finding the Fourth Proportional to 231.41, 320.16 and 196.32

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Solution

The fourth proportional to 231.41, 320.16 and 196.32 is: 271.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.41 : 320.16 = 196.32 : x
  2. Step 2: Convert to fraction form
    231.41/320.16 = 196.32/x
  3. Step 3: Cross multiply
    231.41x = 320.16 × 196.32
  4. Step 4: Simplify right side
    231.41x = 62,853.81
  5. Step 5: Solve for x
    x = 62,853.81/231.41
  6. Step 6: Final answer
    x = 271.62

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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.