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Finding the Fourth Proportional to 642.33, 963.33 and 180.15

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Solution

The fourth proportional to 642.33, 963.33 and 180.15 is: 270.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.33 : 963.33 = 180.15 : x
  2. Step 2: Convert to fraction form
    642.33/963.33 = 180.15/x
  3. Step 3: Cross multiply
    642.33x = 963.33 × 180.15
  4. Step 4: Simplify right side
    642.33x = 173,543.90
  5. Step 5: Solve for x
    x = 173,543.90/642.33
  6. Step 6: Final answer
    x = 270.18

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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.