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Finding the Fourth Proportional to 290.91, 401.46 and 180.33

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Solution

The fourth proportional to 290.91, 401.46 and 180.33 is: 248.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.91 : 401.46 = 180.33 : x
  2. Step 2: Convert to fraction form
    290.91/401.46 = 180.33/x
  3. Step 3: Cross multiply
    290.91x = 401.46 × 180.33
  4. Step 4: Simplify right side
    290.91x = 72,395.28
  5. Step 5: Solve for x
    x = 72,395.28/290.91
  6. Step 6: Final answer
    x = 248.86

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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.