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Finding the Fourth Proportional to 311.58, 466.97 and 181.71

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Solution

The fourth proportional to 311.58, 466.97 and 181.71 is: 272.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.58 : 466.97 = 181.71 : x
  2. Step 2: Convert to fraction form
    311.58/466.97 = 181.71/x
  3. Step 3: Cross multiply
    311.58x = 466.97 × 181.71
  4. Step 4: Simplify right side
    311.58x = 84,852.21
  5. Step 5: Solve for x
    x = 84,852.21/311.58
  6. Step 6: Final answer
    x = 272.33

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