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Finding the Fourth Proportional to 311.28, 429.64 and 194.96

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Solution

The fourth proportional to 311.28, 429.64 and 194.96 is: 269.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.28 : 429.64 = 194.96 : x
  2. Step 2: Convert to fraction form
    311.28/429.64 = 194.96/x
  3. Step 3: Cross multiply
    311.28x = 429.64 × 194.96
  4. Step 4: Simplify right side
    311.28x = 83,762.61
  5. Step 5: Solve for x
    x = 83,762.61/311.28
  6. Step 6: Final answer
    x = 269.09

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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.