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Finding the Fourth Proportional to 455.29, 683.22 and 181.34

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Solution

The fourth proportional to 455.29, 683.22 and 181.34 is: 272.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.29 : 683.22 = 181.34 : x
  2. Step 2: Convert to fraction form
    455.29/683.22 = 181.34/x
  3. Step 3: Cross multiply
    455.29x = 683.22 × 181.34
  4. Step 4: Simplify right side
    455.29x = 123,893.92
  5. Step 5: Solve for x
    x = 123,893.92/455.29
  6. Step 6: Final answer
    x = 272.12

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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.