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Finding the Fourth Proportional to 456, 683.53 and 181.98

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Solution

The fourth proportional to 456, 683.53 and 181.98 is: 272.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    456 : 683.53 = 181.98 : x
  2. Step 2: Convert to fraction form
    456/683.53 = 181.98/x
  3. Step 3: Cross multiply
    456x = 683.53 × 181.98
  4. Step 4: Simplify right side
    456x = 124,388.79
  5. Step 5: Solve for x
    x = 124,388.79/456
  6. Step 6: Final answer
    x = 272.78

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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.