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Finding the Fourth Proportional to 275.49, 380.05 and 177.21

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Solution

The fourth proportional to 275.49, 380.05 and 177.21 is: 244.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.49 : 380.05 = 177.21 : x
  2. Step 2: Convert to fraction form
    275.49/380.05 = 177.21/x
  3. Step 3: Cross multiply
    275.49x = 380.05 × 177.21
  4. Step 4: Simplify right side
    275.49x = 67,348.66
  5. Step 5: Solve for x
    x = 67,348.66/275.49
  6. Step 6: Final answer
    x = 244.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.