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Finding the Fourth Proportional to 455.67, 683.21 and 181.84

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Solution

The fourth proportional to 455.67, 683.21 and 181.84 is: 272.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.67 : 683.21 = 181.84 : x
  2. Step 2: Convert to fraction form
    455.67/683.21 = 181.84/x
  3. Step 3: Cross multiply
    455.67x = 683.21 × 181.84
  4. Step 4: Simplify right side
    455.67x = 124,231.49
  5. Step 5: Solve for x
    x = 124,231.49/455.67
  6. Step 6: Final answer
    x = 272.64

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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.