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Finding the Fourth Proportional to 311.15, 429.57 and 186.86

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Solution

The fourth proportional to 311.15, 429.57 and 186.86 is: 257.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.15 : 429.57 = 186.86 : x
  2. Step 2: Convert to fraction form
    311.15/429.57 = 186.86/x
  3. Step 3: Cross multiply
    311.15x = 429.57 × 186.86
  4. Step 4: Simplify right side
    311.15x = 80,267.30
  5. Step 5: Solve for x
    x = 80,267.30/311.15
  6. Step 6: Final answer
    x = 257.97

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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.