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Finding the Fourth Proportional to 275.37, 380.05 and 177.41

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Solution

The fourth proportional to 275.37, 380.05 and 177.41 is: 244.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.37 : 380.05 = 177.41 : x
  2. Step 2: Convert to fraction form
    275.37/380.05 = 177.41/x
  3. Step 3: Cross multiply
    275.37x = 380.05 × 177.41
  4. Step 4: Simplify right side
    275.37x = 67,425.18
  5. Step 5: Solve for x
    x = 67,425.18/275.37
  6. Step 6: Final answer
    x = 244.85

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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.