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Finding the Fourth Proportional to 290.92, 401.44 and 166.56

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Solution

The fourth proportional to 290.92, 401.44 and 166.56 is: 229.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.92 : 401.44 = 166.56 : x
  2. Step 2: Convert to fraction form
    290.92/401.44 = 166.56/x
  3. Step 3: Cross multiply
    290.92x = 401.44 × 166.56
  4. Step 4: Simplify right side
    290.92x = 66,861.84
  5. Step 5: Solve for x
    x = 66,861.84/290.92
  6. Step 6: Final answer
    x = 229.83

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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.