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Finding the Fourth Proportional to 275.73, 380.25 and 202.11

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Solution

The fourth proportional to 275.73, 380.25 and 202.11 is: 278.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.73 : 380.25 = 202.11 : x
  2. Step 2: Convert to fraction form
    275.73/380.25 = 202.11/x
  3. Step 3: Cross multiply
    275.73x = 380.25 × 202.11
  4. Step 4: Simplify right side
    275.73x = 76,852.33
  5. Step 5: Solve for x
    x = 76,852.33/275.73
  6. Step 6: Final answer
    x = 278.72

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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.