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Finding the Fourth Proportional to 310.82, 428.73 and 194.18

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Solution

The fourth proportional to 310.82, 428.73 and 194.18 is: 267.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.82 : 428.73 = 194.18 : x
  2. Step 2: Convert to fraction form
    310.82/428.73 = 194.18/x
  3. Step 3: Cross multiply
    310.82x = 428.73 × 194.18
  4. Step 4: Simplify right side
    310.82x = 83,250.79
  5. Step 5: Solve for x
    x = 83,250.79/310.82
  6. Step 6: Final answer
    x = 267.84

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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.