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Finding the Fourth Proportional to 311.16, 429.24 and 186.78

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Solution

The fourth proportional to 311.16, 429.24 and 186.78 is: 257.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.16 : 429.24 = 186.78 : x
  2. Step 2: Convert to fraction form
    311.16/429.24 = 186.78/x
  3. Step 3: Cross multiply
    311.16x = 429.24 × 186.78
  4. Step 4: Simplify right side
    311.16x = 80,173.45
  5. Step 5: Solve for x
    x = 80,173.45/311.16
  6. Step 6: Final answer
    x = 257.66

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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.