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Finding the Fourth Proportional to 269.87, 404.73 and 105.30

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Solution

The fourth proportional to 269.87, 404.73 and 105.30 is: 157.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.87 : 404.73 = 105.30 : x
  2. Step 2: Convert to fraction form
    269.87/404.73 = 105.30/x
  3. Step 3: Cross multiply
    269.87x = 404.73 × 105.30
  4. Step 4: Simplify right side
    269.87x = 42,618.07
  5. Step 5: Solve for x
    x = 42,618.07/269.87
  6. Step 6: Final answer
    x = 157.92

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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.