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Finding the Fourth Proportional to 275.78, 380.34 and 165.23

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Solution

The fourth proportional to 275.78, 380.34 and 165.23 is: 227.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.78 : 380.34 = 165.23 : x
  2. Step 2: Convert to fraction form
    275.78/380.34 = 165.23/x
  3. Step 3: Cross multiply
    275.78x = 380.34 × 165.23
  4. Step 4: Simplify right side
    275.78x = 62,841.68
  5. Step 5: Solve for x
    x = 62,841.68/275.78
  6. Step 6: Final answer
    x = 227.87

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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.