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Finding the Fourth Proportional to 269.82, 404.65 and 105.22

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Solution

The fourth proportional to 269.82, 404.65 and 105.22 is: 157.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.82 : 404.65 = 105.22 : x
  2. Step 2: Convert to fraction form
    269.82/404.65 = 105.22/x
  3. Step 3: Cross multiply
    269.82x = 404.65 × 105.22
  4. Step 4: Simplify right side
    269.82x = 42,577.27
  5. Step 5: Solve for x
    x = 42,577.27/269.82
  6. Step 6: Final answer
    x = 157.80

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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.