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Finding the Fourth Proportional to 290.85, 401.13 and 180.12

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Solution

The fourth proportional to 290.85, 401.13 and 180.12 is: 248.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.85 : 401.13 = 180.12 : x
  2. Step 2: Convert to fraction form
    290.85/401.13 = 180.12/x
  3. Step 3: Cross multiply
    290.85x = 401.13 × 180.12
  4. Step 4: Simplify right side
    290.85x = 72,251.54
  5. Step 5: Solve for x
    x = 72,251.54/290.85
  6. Step 6: Final answer
    x = 248.42

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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.