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Finding the Fourth Proportional to 311.44, 466.55 and 181.17

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Solution

The fourth proportional to 311.44, 466.55 and 181.17 is: 271.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.44 : 466.55 = 181.17 : x
  2. Step 2: Convert to fraction form
    311.44/466.55 = 181.17/x
  3. Step 3: Cross multiply
    311.44x = 466.55 × 181.17
  4. Step 4: Simplify right side
    311.44x = 84,524.86
  5. Step 5: Solve for x
    x = 84,524.86/311.44
  6. Step 6: Final answer
    x = 271.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.