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Finding the Fourth Proportional to 196, 269.64 and 174.12

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Solution

The fourth proportional to 196, 269.64 and 174.12 is: 239.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    196 : 269.64 = 174.12 : x
  2. Step 2: Convert to fraction form
    196/269.64 = 174.12/x
  3. Step 3: Cross multiply
    196x = 269.64 × 174.12
  4. Step 4: Simplify right side
    196x = 46,949.72
  5. Step 5: Solve for x
    x = 46,949.72/196
  6. Step 6: Final answer
    x = 239.54

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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.