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Finding the Fourth Proportional to 196.18, 269.76 and 174.31

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Solution

The fourth proportional to 196.18, 269.76 and 174.31 is: 239.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.18 : 269.76 = 174.31 : x
  2. Step 2: Convert to fraction form
    196.18/269.76 = 174.31/x
  3. Step 3: Cross multiply
    196.18x = 269.76 × 174.31
  4. Step 4: Simplify right side
    196.18x = 47,021.87
  5. Step 5: Solve for x
    x = 47,021.87/196.18
  6. Step 6: Final answer
    x = 239.69

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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.