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Finding the Fourth Proportional to 641.67, 962.67 and 179.45

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Solution

The fourth proportional to 641.67, 962.67 and 179.45 is: 269.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.67 : 962.67 = 179.45 : x
  2. Step 2: Convert to fraction form
    641.67/962.67 = 179.45/x
  3. Step 3: Cross multiply
    641.67x = 962.67 × 179.45
  4. Step 4: Simplify right side
    641.67x = 172,751.13
  5. Step 5: Solve for x
    x = 172,751.13/641.67
  6. Step 6: Final answer
    x = 269.22

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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.