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Finding the Fourth Proportional to 311.27, 429.48 and 186.88

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Solution

The fourth proportional to 311.27, 429.48 and 186.88 is: 257.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.27 : 429.48 = 186.88 : x
  2. Step 2: Convert to fraction form
    311.27/429.48 = 186.88/x
  3. Step 3: Cross multiply
    311.27x = 429.48 × 186.88
  4. Step 4: Simplify right side
    311.27x = 80,261.22
  5. Step 5: Solve for x
    x = 80,261.22/311.27
  6. Step 6: Final answer
    x = 257.85

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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.