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Finding the Fourth Proportional to 276.18, 380.94 and 165.63

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Solution

The fourth proportional to 276.18, 380.94 and 165.63 is: 228.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.18 : 380.94 = 165.63 : x
  2. Step 2: Convert to fraction form
    276.18/380.94 = 165.63/x
  3. Step 3: Cross multiply
    276.18x = 380.94 × 165.63
  4. Step 4: Simplify right side
    276.18x = 63,095.09
  5. Step 5: Solve for x
    x = 63,095.09/276.18
  6. Step 6: Final answer
    x = 228.46

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Why These Related Problems?

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