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Finding the Fourth Proportional to 311.69, 430.11 and 193.66

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Solution

The fourth proportional to 311.69, 430.11 and 193.66 is: 267.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.69 : 430.11 = 193.66 : x
  2. Step 2: Convert to fraction form
    311.69/430.11 = 193.66/x
  3. Step 3: Cross multiply
    311.69x = 430.11 × 193.66
  4. Step 4: Simplify right side
    311.69x = 83,294.03
  5. Step 5: Solve for x
    x = 83,294.03/311.69
  6. Step 6: Final answer
    x = 267.23

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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.