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Finding the Fourth Proportional to 549.88, 824.61 and 184.57

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Solution

The fourth proportional to 549.88, 824.61 and 184.57 is: 276.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.88 : 824.61 = 184.57 : x
  2. Step 2: Convert to fraction form
    549.88/824.61 = 184.57/x
  3. Step 3: Cross multiply
    549.88x = 824.61 × 184.57
  4. Step 4: Simplify right side
    549.88x = 152,198.27
  5. Step 5: Solve for x
    x = 152,198.27/549.88
  6. Step 6: Final answer
    x = 276.78

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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.