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Finding the Fourth Proportional to 196.43, 295.99 and 162.94

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Solution

The fourth proportional to 196.43, 295.99 and 162.94 is: 245.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.43 : 295.99 = 162.94 : x
  2. Step 2: Convert to fraction form
    196.43/295.99 = 162.94/x
  3. Step 3: Cross multiply
    196.43x = 295.99 × 162.94
  4. Step 4: Simplify right side
    196.43x = 48,228.61
  5. Step 5: Solve for x
    x = 48,228.61/196.43
  6. Step 6: Final answer
    x = 245.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.