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Finding the Fourth Proportional to 310.80, 428.67 and 194.25

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Solution

The fourth proportional to 310.80, 428.67 and 194.25 is: 267.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.80 : 428.67 = 194.25 : x
  2. Step 2: Convert to fraction form
    310.80/428.67 = 194.25/x
  3. Step 3: Cross multiply
    310.80x = 428.67 × 194.25
  4. Step 4: Simplify right side
    310.80x = 83,269.15
  5. Step 5: Solve for x
    x = 83,269.15/310.80
  6. Step 6: Final answer
    x = 267.92

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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.