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Finding the Fourth Proportional to 231.45, 345.13 and 196.62

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Solution

The fourth proportional to 231.45, 345.13 and 196.62 is: 293.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.45 : 345.13 = 196.62 : x
  2. Step 2: Convert to fraction form
    231.45/345.13 = 196.62/x
  3. Step 3: Cross multiply
    231.45x = 345.13 × 196.62
  4. Step 4: Simplify right side
    231.45x = 67,859.46
  5. Step 5: Solve for x
    x = 67,859.46/231.45
  6. Step 6: Final answer
    x = 293.19

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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.