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Finding the Fourth Proportional to 276.07, 380.96 and 165.60

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Solution

The fourth proportional to 276.07, 380.96 and 165.60 is: 228.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.07 : 380.96 = 165.60 : x
  2. Step 2: Convert to fraction form
    276.07/380.96 = 165.60/x
  3. Step 3: Cross multiply
    276.07x = 380.96 × 165.60
  4. Step 4: Simplify right side
    276.07x = 63,086.15
  5. Step 5: Solve for x
    x = 63,086.15/276.07
  6. Step 6: Final answer
    x = 228.52

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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.