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Finding the Fourth Proportional to 456.03, 683.78 and 181.82

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Solution

The fourth proportional to 456.03, 683.78 and 181.82 is: 272.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.03 : 683.78 = 181.82 : x
  2. Step 2: Convert to fraction form
    456.03/683.78 = 181.82/x
  3. Step 3: Cross multiply
    456.03x = 683.78 × 181.82
  4. Step 4: Simplify right side
    456.03x = 124,320.55
  5. Step 5: Solve for x
    x = 124,320.55/456.03
  6. Step 6: Final answer
    x = 272.61

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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.