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Finding the Fourth Proportional to 275.69, 380.40 and 165.14

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Solution

The fourth proportional to 275.69, 380.40 and 165.14 is: 227.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.69 : 380.40 = 165.14 : x
  2. Step 2: Convert to fraction form
    275.69/380.40 = 165.14/x
  3. Step 3: Cross multiply
    275.69x = 380.40 × 165.14
  4. Step 4: Simplify right side
    275.69x = 62,819.26
  5. Step 5: Solve for x
    x = 62,819.26/275.69
  6. Step 6: Final answer
    x = 227.86

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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.