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Finding the Fourth Proportional to 424.43, 636.80 and 181.14

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Solution

The fourth proportional to 424.43, 636.80 and 181.14 is: 271.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.43 : 636.80 = 181.14 : x
  2. Step 2: Convert to fraction form
    424.43/636.80 = 181.14/x
  3. Step 3: Cross multiply
    424.43x = 636.80 × 181.14
  4. Step 4: Simplify right side
    424.43x = 115,349.05
  5. Step 5: Solve for x
    x = 115,349.05/424.43
  6. Step 6: Final answer
    x = 271.78

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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.