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Finding the Fourth Proportional to 269.75, 404.64 and 105.21

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Solution

The fourth proportional to 269.75, 404.64 and 105.21 is: 157.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.75 : 404.64 = 105.21 : x
  2. Step 2: Convert to fraction form
    269.75/404.64 = 105.21/x
  3. Step 3: Cross multiply
    269.75x = 404.64 × 105.21
  4. Step 4: Simplify right side
    269.75x = 42,572.17
  5. Step 5: Solve for x
    x = 42,572.17/269.75
  6. Step 6: Final answer
    x = 157.82

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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.