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Finding the Fourth Proportional to 311.07, 429.09 and 193.02

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Solution

The fourth proportional to 311.07, 429.09 and 193.02 is: 266.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.07 : 429.09 = 193.02 : x
  2. Step 2: Convert to fraction form
    311.07/429.09 = 193.02/x
  3. Step 3: Cross multiply
    311.07x = 429.09 × 193.02
  4. Step 4: Simplify right side
    311.07x = 82,822.95
  5. Step 5: Solve for x
    x = 82,822.95/311.07
  6. Step 6: Final answer
    x = 266.25

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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.