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Finding the Fourth Proportional to 311.86, 430.41 and 195.58

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Solution

The fourth proportional to 311.86, 430.41 and 195.58 is: 269.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.86 : 430.41 = 195.58 : x
  2. Step 2: Convert to fraction form
    311.86/430.41 = 195.58/x
  3. Step 3: Cross multiply
    311.86x = 430.41 × 195.58
  4. Step 4: Simplify right side
    311.86x = 84,179.76
  5. Step 5: Solve for x
    x = 84,179.76/311.86
  6. Step 6: Final answer
    x = 269.93

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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.