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Finding the Fourth Proportional to 290.70, 401.16 and 180.24

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Solution

The fourth proportional to 290.70, 401.16 and 180.24 is: 248.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.70 : 401.16 = 180.24 : x
  2. Step 2: Convert to fraction form
    290.70/401.16 = 180.24/x
  3. Step 3: Cross multiply
    290.70x = 401.16 × 180.24
  4. Step 4: Simplify right side
    290.70x = 72,305.08
  5. Step 5: Solve for x
    x = 72,305.08/290.70
  6. Step 6: Final answer
    x = 248.73

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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.