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Finding the Fourth Proportional to 269.25, 403.77 and 171.83

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Solution

The fourth proportional to 269.25, 403.77 and 171.83 is: 257.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.25 : 403.77 = 171.83 : x
  2. Step 2: Convert to fraction form
    269.25/403.77 = 171.83/x
  3. Step 3: Cross multiply
    269.25x = 403.77 × 171.83
  4. Step 4: Simplify right side
    269.25x = 69,377.78
  5. Step 5: Solve for x
    x = 69,377.78/269.25
  6. Step 6: Final answer
    x = 257.67

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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.