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Finding the Fourth Proportional to 269.34, 404.19 and 182.84

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Solution

The fourth proportional to 269.34, 404.19 and 182.84 is: 274.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.34 : 404.19 = 182.84 : x
  2. Step 2: Convert to fraction form
    269.34/404.19 = 182.84/x
  3. Step 3: Cross multiply
    269.34x = 404.19 × 182.84
  4. Step 4: Simplify right side
    269.34x = 73,900.08
  5. Step 5: Solve for x
    x = 73,900.08/269.34
  6. Step 6: Final answer
    x = 274.37

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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.