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Finding the Fourth Proportional to 195.93, 295.23 and 162.44

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Solution

The fourth proportional to 195.93, 295.23 and 162.44 is: 244.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.93 : 295.23 = 162.44 : x
  2. Step 2: Convert to fraction form
    195.93/295.23 = 162.44/x
  3. Step 3: Cross multiply
    195.93x = 295.23 × 162.44
  4. Step 4: Simplify right side
    195.93x = 47,957.16
  5. Step 5: Solve for x
    x = 47,957.16/195.93
  6. Step 6: Final answer
    x = 244.77

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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.