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Finding the Fourth Proportional to 311.54, 429.99 and 194.90

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Solution

The fourth proportional to 311.54, 429.99 and 194.90 is: 269.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.54 : 429.99 = 194.90 : x
  2. Step 2: Convert to fraction form
    311.54/429.99 = 194.90/x
  3. Step 3: Cross multiply
    311.54x = 429.99 × 194.90
  4. Step 4: Simplify right side
    311.54x = 83,805.05
  5. Step 5: Solve for x
    x = 83,805.05/311.54
  6. Step 6: Final answer
    x = 269.00

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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.