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Finding the Fourth Proportional to 269.50, 404.52 and 196.60

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Solution

The fourth proportional to 269.50, 404.52 and 196.60 is: 295.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.50 : 404.52 = 196.60 : x
  2. Step 2: Convert to fraction form
    269.50/404.52 = 196.60/x
  3. Step 3: Cross multiply
    269.50x = 404.52 × 196.60
  4. Step 4: Simplify right side
    269.50x = 79,528.63
  5. Step 5: Solve for x
    x = 79,528.63/269.50
  6. Step 6: Final answer
    x = 295.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.