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Finding the Fourth Proportional to 643.46, 965.24 and 181.23

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Solution

The fourth proportional to 643.46, 965.24 and 181.23 is: 271.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.46 : 965.24 = 181.23 : x
  2. Step 2: Convert to fraction form
    643.46/965.24 = 181.23/x
  3. Step 3: Cross multiply
    643.46x = 965.24 × 181.23
  4. Step 4: Simplify right side
    643.46x = 174,929.54
  5. Step 5: Solve for x
    x = 174,929.54/643.46
  6. Step 6: Final answer
    x = 271.86

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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.