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Finding the Fourth Proportional to 290.14, 400.41 and 173.71

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Solution

The fourth proportional to 290.14, 400.41 and 173.71 is: 239.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.14 : 400.41 = 173.71 : x
  2. Step 2: Convert to fraction form
    290.14/400.41 = 173.71/x
  3. Step 3: Cross multiply
    290.14x = 400.41 × 173.71
  4. Step 4: Simplify right side
    290.14x = 69,555.22
  5. Step 5: Solve for x
    x = 69,555.22/290.14
  6. Step 6: Final answer
    x = 239.73

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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.