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Finding the Fourth Proportional to 549.45, 823.84 and 184.21

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Solution

The fourth proportional to 549.45, 823.84 and 184.21 is: 276.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.45 : 823.84 = 184.21 : x
  2. Step 2: Convert to fraction form
    549.45/823.84 = 184.21/x
  3. Step 3: Cross multiply
    549.45x = 823.84 × 184.21
  4. Step 4: Simplify right side
    549.45x = 151,757.05
  5. Step 5: Solve for x
    x = 151,757.05/549.45
  6. Step 6: Final answer
    x = 276.20

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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.