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Finding the Fourth Proportional to 290.67, 400.71 and 180.09

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Solution

The fourth proportional to 290.67, 400.71 and 180.09 is: 248.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.67 : 400.71 = 180.09 : x
  2. Step 2: Convert to fraction form
    290.67/400.71 = 180.09/x
  3. Step 3: Cross multiply
    290.67x = 400.71 × 180.09
  4. Step 4: Simplify right side
    290.67x = 72,163.86
  5. Step 5: Solve for x
    x = 72,163.86/290.67
  6. Step 6: Final answer
    x = 248.27

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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.