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Finding the Fourth Proportional to 641.93, 962.82 and 179.75

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Solution

The fourth proportional to 641.93, 962.82 and 179.75 is: 269.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.93 : 962.82 = 179.75 : x
  2. Step 2: Convert to fraction form
    641.93/962.82 = 179.75/x
  3. Step 3: Cross multiply
    641.93x = 962.82 × 179.75
  4. Step 4: Simplify right side
    641.93x = 173,069.30
  5. Step 5: Solve for x
    x = 173,069.30/641.93
  6. Step 6: Final answer
    x = 269.61

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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.