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Finding the Fourth Proportional to 455.39, 683.01 and 181.23

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Solution

The fourth proportional to 455.39, 683.01 and 181.23 is: 271.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.39 : 683.01 = 181.23 : x
  2. Step 2: Convert to fraction form
    455.39/683.01 = 181.23/x
  3. Step 3: Cross multiply
    455.39x = 683.01 × 181.23
  4. Step 4: Simplify right side
    455.39x = 123,781.90
  5. Step 5: Solve for x
    x = 123,781.90/455.39
  6. Step 6: Final answer
    x = 271.82

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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.