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Finding the Fourth Proportional to 641.84, 962.60 and 185.84

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Solution

The fourth proportional to 641.84, 962.60 and 185.84 is: 278.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.84 : 962.60 = 185.84 : x
  2. Step 2: Convert to fraction form
    641.84/962.60 = 185.84/x
  3. Step 3: Cross multiply
    641.84x = 962.60 × 185.84
  4. Step 4: Simplify right side
    641.84x = 178,889.58
  5. Step 5: Solve for x
    x = 178,889.58/641.84
  6. Step 6: Final answer
    x = 278.71

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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.