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Finding the Fourth Proportional to 321.96, 483.12 and 185.28

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Solution

The fourth proportional to 321.96, 483.12 and 185.28 is: 278.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.96 : 483.12 = 185.28 : x
  2. Step 2: Convert to fraction form
    321.96/483.12 = 185.28/x
  3. Step 3: Cross multiply
    321.96x = 483.12 × 185.28
  4. Step 4: Simplify right side
    321.96x = 89,512.47
  5. Step 5: Solve for x
    x = 89,512.47/321.96
  6. Step 6: Final answer
    x = 278.02

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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.