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Finding the Fourth Proportional to 311.64, 429.98 and 195.14

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Solution

The fourth proportional to 311.64, 429.98 and 195.14 is: 269.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.64 : 429.98 = 195.14 : x
  2. Step 2: Convert to fraction form
    311.64/429.98 = 195.14/x
  3. Step 3: Cross multiply
    311.64x = 429.98 × 195.14
  4. Step 4: Simplify right side
    311.64x = 83,906.30
  5. Step 5: Solve for x
    x = 83,906.30/311.64
  6. Step 6: Final answer
    x = 269.24

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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.