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Finding the Fourth Proportional to 310.50, 428.51 and 194.14

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Solution

The fourth proportional to 310.50, 428.51 and 194.14 is: 267.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.50 : 428.51 = 194.14 : x
  2. Step 2: Convert to fraction form
    310.50/428.51 = 194.14/x
  3. Step 3: Cross multiply
    310.50x = 428.51 × 194.14
  4. Step 4: Simplify right side
    310.50x = 83,190.93
  5. Step 5: Solve for x
    x = 83,190.93/310.50
  6. Step 6: Final answer
    x = 267.93

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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.