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Finding the Fourth Proportional to 276.07, 380.92 and 164.03

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Solution

The fourth proportional to 276.07, 380.92 and 164.03 is: 226.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.07 : 380.92 = 164.03 : x
  2. Step 2: Convert to fraction form
    276.07/380.92 = 164.03/x
  3. Step 3: Cross multiply
    276.07x = 380.92 × 164.03
  4. Step 4: Simplify right side
    276.07x = 62,482.85
  5. Step 5: Solve for x
    x = 62,482.85/276.07
  6. Step 6: Final answer
    x = 226.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.