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Finding the Fourth Proportional to 642.26, 963.46 and 180.04

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Solution

The fourth proportional to 642.26, 963.46 and 180.04 is: 270.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.26 : 963.46 = 180.04 : x
  2. Step 2: Convert to fraction form
    642.26/963.46 = 180.04/x
  3. Step 3: Cross multiply
    642.26x = 963.46 × 180.04
  4. Step 4: Simplify right side
    642.26x = 173,460.44
  5. Step 5: Solve for x
    x = 173,460.44/642.26
  6. Step 6: Final answer
    x = 270.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.