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Finding the Fourth Proportional to 275.75, 380.52 and 165.21

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Solution

The fourth proportional to 275.75, 380.52 and 165.21 is: 227.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.75 : 380.52 = 165.21 : x
  2. Step 2: Convert to fraction form
    275.75/380.52 = 165.21/x
  3. Step 3: Cross multiply
    275.75x = 380.52 × 165.21
  4. Step 4: Simplify right side
    275.75x = 62,863.81
  5. Step 5: Solve for x
    x = 62,863.81/275.75
  6. Step 6: Final answer
    x = 227.97

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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.