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Finding the Fourth Proportional to 275.56, 380.46 and 177.44

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Solution

The fourth proportional to 275.56, 380.46 and 177.44 is: 244.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.56 : 380.46 = 177.44 : x
  2. Step 2: Convert to fraction form
    275.56/380.46 = 177.44/x
  3. Step 3: Cross multiply
    275.56x = 380.46 × 177.44
  4. Step 4: Simplify right side
    275.56x = 67,508.82
  5. Step 5: Solve for x
    x = 67,508.82/275.56
  6. Step 6: Final answer
    x = 244.99

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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.