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Finding the Fourth Proportional to 290.29, 400.61 and 172.26

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Solution

The fourth proportional to 290.29, 400.61 and 172.26 is: 237.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.29 : 400.61 = 172.26 : x
  2. Step 2: Convert to fraction form
    290.29/400.61 = 172.26/x
  3. Step 3: Cross multiply
    290.29x = 400.61 × 172.26
  4. Step 4: Simplify right side
    290.29x = 69,009.08
  5. Step 5: Solve for x
    x = 69,009.08/290.29
  6. Step 6: Final answer
    x = 237.72

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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.