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Finding the Fourth Proportional to 290.85, 401.52 and 180.42

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Solution

The fourth proportional to 290.85, 401.52 and 180.42 is: 249.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.85 : 401.52 = 180.42 : x
  2. Step 2: Convert to fraction form
    290.85/401.52 = 180.42/x
  3. Step 3: Cross multiply
    290.85x = 401.52 × 180.42
  4. Step 4: Simplify right side
    290.85x = 72,442.24
  5. Step 5: Solve for x
    x = 72,442.24/290.85
  6. Step 6: Final answer
    x = 249.07

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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.