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Finding the Fourth Proportional to 290.72, 401.22 and 166.43

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Solution

The fourth proportional to 290.72, 401.22 and 166.43 is: 229.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.72 : 401.22 = 166.43 : x
  2. Step 2: Convert to fraction form
    290.72/401.22 = 166.43/x
  3. Step 3: Cross multiply
    290.72x = 401.22 × 166.43
  4. Step 4: Simplify right side
    290.72x = 66,776.05
  5. Step 5: Solve for x
    x = 66,776.05/290.72
  6. Step 6: Final answer
    x = 229.69

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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.