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Finding the Fourth Proportional to 269.70, 404.60 and 96.37

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Solution

The fourth proportional to 269.70, 404.60 and 96.37 is: 144.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.70 : 404.60 = 96.37 : x
  2. Step 2: Convert to fraction form
    269.70/404.60 = 96.37/x
  3. Step 3: Cross multiply
    269.70x = 404.60 × 96.37
  4. Step 4: Simplify right side
    269.70x = 38,991.30
  5. Step 5: Solve for x
    x = 38,991.30/269.70
  6. Step 6: Final answer
    x = 144.57

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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.