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Finding the Fourth Proportional to 549.46, 824.20 and 184.25

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Solution

The fourth proportional to 549.46, 824.20 and 184.25 is: 276.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.46 : 824.20 = 184.25 : x
  2. Step 2: Convert to fraction form
    549.46/824.20 = 184.25/x
  3. Step 3: Cross multiply
    549.46x = 824.20 × 184.25
  4. Step 4: Simplify right side
    549.46x = 151,858.85
  5. Step 5: Solve for x
    x = 151,858.85/549.46
  6. Step 6: Final answer
    x = 276.38

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Double scale
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Similar ratio
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1.5x scale

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.