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Finding the Fourth Proportional to 321.84, 483 and 177.68

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Solution

The fourth proportional to 321.84, 483 and 177.68 is: 266.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.84 : 483 = 177.68 : x
  2. Step 2: Convert to fraction form
    321.84/483 = 177.68/x
  3. Step 3: Cross multiply
    321.84x = 483 × 177.68
  4. Step 4: Simplify right side
    321.84x = 85,819.44
  5. Step 5: Solve for x
    x = 85,819.44/321.84
  6. Step 6: Final answer
    x = 266.65

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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.