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Finding the Fourth Proportional to 638.14, 957.20 and 182.14

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Solution

The fourth proportional to 638.14, 957.20 and 182.14 is: 273.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.14 : 957.20 = 182.14 : x
  2. Step 2: Convert to fraction form
    638.14/957.20 = 182.14/x
  3. Step 3: Cross multiply
    638.14x = 957.20 × 182.14
  4. Step 4: Simplify right side
    638.14x = 174,344.41
  5. Step 5: Solve for x
    x = 174,344.41/638.14
  6. Step 6: Final answer
    x = 273.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.