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Finding the Fourth Proportional to 290.85, 401.34 and 178.88

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Solution

The fourth proportional to 290.85, 401.34 and 178.88 is: 246.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.85 : 401.34 = 178.88 : x
  2. Step 2: Convert to fraction form
    290.85/401.34 = 178.88/x
  3. Step 3: Cross multiply
    290.85x = 401.34 × 178.88
  4. Step 4: Simplify right side
    290.85x = 71,789.69
  5. Step 5: Solve for x
    x = 71,789.69/290.85
  6. Step 6: Final answer
    x = 246.83

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