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Finding the Fourth Proportional to 195.36, 268.10 and 174.48

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Solution

The fourth proportional to 195.36, 268.10 and 174.48 is: 239.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.36 : 268.10 = 174.48 : x
  2. Step 2: Convert to fraction form
    195.36/268.10 = 174.48/x
  3. Step 3: Cross multiply
    195.36x = 268.10 × 174.48
  4. Step 4: Simplify right side
    195.36x = 46,777.22
  5. Step 5: Solve for x
    x = 46,777.22/195.36
  6. Step 6: Final answer
    x = 239.44

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.