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Finding the Fourth Proportional to 290.11, 400.37 and 172.12

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Solution

The fourth proportional to 290.11, 400.37 and 172.12 is: 237.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.11 : 400.37 = 172.12 : x
  2. Step 2: Convert to fraction form
    290.11/400.37 = 172.12/x
  3. Step 3: Cross multiply
    290.11x = 400.37 × 172.12
  4. Step 4: Simplify right side
    290.11x = 68,911.68
  5. Step 5: Solve for x
    x = 68,911.68/290.11
  6. Step 6: Final answer
    x = 237.54

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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.