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Finding the Fourth Proportional to 276.12, 380.98 and 165.63

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Solution

The fourth proportional to 276.12, 380.98 and 165.63 is: 228.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.12 : 380.98 = 165.63 : x
  2. Step 2: Convert to fraction form
    276.12/380.98 = 165.63/x
  3. Step 3: Cross multiply
    276.12x = 380.98 × 165.63
  4. Step 4: Simplify right side
    276.12x = 63,101.72
  5. Step 5: Solve for x
    x = 63,101.72/276.12
  6. Step 6: Final answer
    x = 228.53

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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.