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Finding the Fourth Proportional to 290.64, 400.87 and 179.97

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Solution

The fourth proportional to 290.64, 400.87 and 179.97 is: 248.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.64 : 400.87 = 179.97 : x
  2. Step 2: Convert to fraction form
    290.64/400.87 = 179.97/x
  3. Step 3: Cross multiply
    290.64x = 400.87 × 179.97
  4. Step 4: Simplify right side
    290.64x = 72,144.57
  5. Step 5: Solve for x
    x = 72,144.57/290.64
  6. Step 6: Final answer
    x = 248.23

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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.