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Finding the Fourth Proportional to 290.43, 400.82 and 166.09

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Solution

The fourth proportional to 290.43, 400.82 and 166.09 is: 229.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.43 : 400.82 = 166.09 : x
  2. Step 2: Convert to fraction form
    290.43/400.82 = 166.09/x
  3. Step 3: Cross multiply
    290.43x = 400.82 × 166.09
  4. Step 4: Simplify right side
    290.43x = 66,569.36
  5. Step 5: Solve for x
    x = 66,569.36/290.43
  6. Step 6: Final answer
    x = 229.21

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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.