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Finding the Fourth Proportional to 196.04, 269.06 and 174.84

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Solution

The fourth proportional to 196.04, 269.06 and 174.84 is: 239.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.04 : 269.06 = 174.84 : x
  2. Step 2: Convert to fraction form
    196.04/269.06 = 174.84/x
  3. Step 3: Cross multiply
    196.04x = 269.06 × 174.84
  4. Step 4: Simplify right side
    196.04x = 47,042.45
  5. Step 5: Solve for x
    x = 47,042.45/196.04
  6. Step 6: Final answer
    x = 239.96

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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.