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Finding the Fourth Proportional to 321.93, 482.87 and 184.54

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Solution

The fourth proportional to 321.93, 482.87 and 184.54 is: 276.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.93 : 482.87 = 184.54 : x
  2. Step 2: Convert to fraction form
    321.93/482.87 = 184.54/x
  3. Step 3: Cross multiply
    321.93x = 482.87 × 184.54
  4. Step 4: Simplify right side
    321.93x = 89,108.83
  5. Step 5: Solve for x
    x = 89,108.83/321.93
  6. Step 6: Final answer
    x = 276.80

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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.