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Finding the Fourth Proportional to 311.15, 429.41 and 186.83

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Solution

The fourth proportional to 311.15, 429.41 and 186.83 is: 257.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.15 : 429.41 = 186.83 : x
  2. Step 2: Convert to fraction form
    311.15/429.41 = 186.83/x
  3. Step 3: Cross multiply
    311.15x = 429.41 × 186.83
  4. Step 4: Simplify right side
    311.15x = 80,226.67
  5. Step 5: Solve for x
    x = 80,226.67/311.15
  6. Step 6: Final answer
    x = 257.84

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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.