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Finding the Fourth Proportional to 310.41, 428.32 and 193.97

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Solution

The fourth proportional to 310.41, 428.32 and 193.97 is: 267.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.41 : 428.32 = 193.97 : x
  2. Step 2: Convert to fraction form
    310.41/428.32 = 193.97/x
  3. Step 3: Cross multiply
    310.41x = 428.32 × 193.97
  4. Step 4: Simplify right side
    310.41x = 83,082.54
  5. Step 5: Solve for x
    x = 83,082.54/310.41
  6. Step 6: Final answer
    x = 267.65

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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.