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Finding the Fourth Proportional to 292.82, 404.23 and 182.39

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Solution

The fourth proportional to 292.82, 404.23 and 182.39 is: 251.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.82 : 404.23 = 182.39 : x
  2. Step 2: Convert to fraction form
    292.82/404.23 = 182.39/x
  3. Step 3: Cross multiply
    292.82x = 404.23 × 182.39
  4. Step 4: Simplify right side
    292.82x = 73,725.03
  5. Step 5: Solve for x
    x = 73,725.03/292.82
  6. Step 6: Final answer
    x = 251.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.