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Finding the Fourth Proportional to 549.89, 824.82 and 184.70

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Solution

The fourth proportional to 549.89, 824.82 and 184.70 is: 277.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.89 : 824.82 = 184.70 : x
  2. Step 2: Convert to fraction form
    549.89/824.82 = 184.70/x
  3. Step 3: Cross multiply
    549.89x = 824.82 × 184.70
  4. Step 4: Simplify right side
    549.89x = 152,340.98
  5. Step 5: Solve for x
    x = 152,340.98/549.89
  6. Step 6: Final answer
    x = 277.04

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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.