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Finding the Fourth Proportional to 311.31, 429.39 and 193.16

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Solution

The fourth proportional to 311.31, 429.39 and 193.16 is: 266.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.31 : 429.39 = 193.16 : x
  2. Step 2: Convert to fraction form
    311.31/429.39 = 193.16/x
  3. Step 3: Cross multiply
    311.31x = 429.39 × 193.16
  4. Step 4: Simplify right side
    311.31x = 82,938.83
  5. Step 5: Solve for x
    x = 82,938.83/311.31
  6. Step 6: Final answer
    x = 266.42

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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.