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Finding the Fourth Proportional to 290.68, 401.21 and 178.62

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Solution

The fourth proportional to 290.68, 401.21 and 178.62 is: 246.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.68 : 401.21 = 178.62 : x
  2. Step 2: Convert to fraction form
    290.68/401.21 = 178.62/x
  3. Step 3: Cross multiply
    290.68x = 401.21 × 178.62
  4. Step 4: Simplify right side
    290.68x = 71,663.24
  5. Step 5: Solve for x
    x = 71,663.24/290.68
  6. Step 6: Final answer
    x = 246.54

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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.