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Finding the Fourth Proportional to 290.91, 401.49 and 180.39

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Solution

The fourth proportional to 290.91, 401.49 and 180.39 is: 248.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.91 : 401.49 = 180.39 : x
  2. Step 2: Convert to fraction form
    290.91/401.49 = 180.39/x
  3. Step 3: Cross multiply
    290.91x = 401.49 × 180.39
  4. Step 4: Simplify right side
    290.91x = 72,423.88
  5. Step 5: Solve for x
    x = 72,423.88/290.91
  6. Step 6: Final answer
    x = 248.96

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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.