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Finding the Fourth Proportional to 269.86, 404.30 and 166.94

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Solution

The fourth proportional to 269.86, 404.30 and 166.94 is: 250.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.86 : 404.30 = 166.94 : x
  2. Step 2: Convert to fraction form
    269.86/404.30 = 166.94/x
  3. Step 3: Cross multiply
    269.86x = 404.30 × 166.94
  4. Step 4: Simplify right side
    269.86x = 67,493.84
  5. Step 5: Solve for x
    x = 67,493.84/269.86
  6. Step 6: Final answer
    x = 250.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.