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Finding the Fourth Proportional to 275.28, 380.16 and 220.44

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Solution

The fourth proportional to 275.28, 380.16 and 220.44 is: 304.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.28 : 380.16 = 220.44 : x
  2. Step 2: Convert to fraction form
    275.28/380.16 = 220.44/x
  3. Step 3: Cross multiply
    275.28x = 380.16 × 220.44
  4. Step 4: Simplify right side
    275.28x = 83,802.47
  5. Step 5: Solve for x
    x = 83,802.47/275.28
  6. Step 6: Final answer
    x = 304.43

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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.