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Finding the Fourth Proportional to 638, 957.12 and 182

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Solution

The fourth proportional to 638, 957.12 and 182 is: 273.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    638 : 957.12 = 182 : x
  2. Step 2: Convert to fraction form
    638/957.12 = 182/x
  3. Step 3: Cross multiply
    638x = 957.12 × 182
  4. Step 4: Simplify right side
    638x = 174,195.84
  5. Step 5: Solve for x
    x = 174,195.84/638
  6. Step 6: Final answer
    x = 273.03

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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.