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Finding the Fourth Proportional to 269.74, 404.63 and 96.50

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Solution

The fourth proportional to 269.74, 404.63 and 96.50 is: 144.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.74 : 404.63 = 96.50 : x
  2. Step 2: Convert to fraction form
    269.74/404.63 = 96.50/x
  3. Step 3: Cross multiply
    269.74x = 404.63 × 96.50
  4. Step 4: Simplify right side
    269.74x = 39,046.80
  5. Step 5: Solve for x
    x = 39,046.80/269.74
  6. Step 6: Final answer
    x = 144.76

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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.