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Finding the Fourth Proportional to 428.22, 641.83 and 181.37

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Solution

The fourth proportional to 428.22, 641.83 and 181.37 is: 271.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.22 : 641.83 = 181.37 : x
  2. Step 2: Convert to fraction form
    428.22/641.83 = 181.37/x
  3. Step 3: Cross multiply
    428.22x = 641.83 × 181.37
  4. Step 4: Simplify right side
    428.22x = 116,408.71
  5. Step 5: Solve for x
    x = 116,408.71/428.22
  6. Step 6: Final answer
    x = 271.84

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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.