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Finding the Fourth Proportional to 311.07, 429.19 and 194.63

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Solution

The fourth proportional to 311.07, 429.19 and 194.63 is: 268.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.07 : 429.19 = 194.63 : x
  2. Step 2: Convert to fraction form
    311.07/429.19 = 194.63/x
  3. Step 3: Cross multiply
    311.07x = 429.19 × 194.63
  4. Step 4: Simplify right side
    311.07x = 83,533.25
  5. Step 5: Solve for x
    x = 83,533.25/311.07
  6. Step 6: Final answer
    x = 268.54

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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.