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Finding the Fourth Proportional to 276.36, 414.96 and 238.14

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Solution

The fourth proportional to 276.36, 414.96 and 238.14 is: 357.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.36 : 414.96 = 238.14 : x
  2. Step 2: Convert to fraction form
    276.36/414.96 = 238.14/x
  3. Step 3: Cross multiply
    276.36x = 414.96 × 238.14
  4. Step 4: Simplify right side
    276.36x = 98,818.57
  5. Step 5: Solve for x
    x = 98,818.57/276.36
  6. Step 6: Final answer
    x = 357.57

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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.