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Finding the Fourth Proportional to 269.94, 404.54 and 115.84

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Solution

The fourth proportional to 269.94, 404.54 and 115.84 is: 173.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.94 : 404.54 = 115.84 : x
  2. Step 2: Convert to fraction form
    269.94/404.54 = 115.84/x
  3. Step 3: Cross multiply
    269.94x = 404.54 × 115.84
  4. Step 4: Simplify right side
    269.94x = 46,861.91
  5. Step 5: Solve for x
    x = 46,861.91/269.94
  6. Step 6: Final answer
    x = 173.60

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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.