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Finding the Fourth Proportional to 311.68, 430.14 and 195.22

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Solution

The fourth proportional to 311.68, 430.14 and 195.22 is: 269.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.68 : 430.14 = 195.22 : x
  2. Step 2: Convert to fraction form
    311.68/430.14 = 195.22/x
  3. Step 3: Cross multiply
    311.68x = 430.14 × 195.22
  4. Step 4: Simplify right side
    311.68x = 83,971.93
  5. Step 5: Solve for x
    x = 83,971.93/311.68
  6. Step 6: Final answer
    x = 269.42

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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.