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Finding the Fourth Proportional to 549.44, 824.16 and 184.22

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Solution

The fourth proportional to 549.44, 824.16 and 184.22 is: 276.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.44 : 824.16 = 184.22 : x
  2. Step 2: Convert to fraction form
    549.44/824.16 = 184.22/x
  3. Step 3: Cross multiply
    549.44x = 824.16 × 184.22
  4. Step 4: Simplify right side
    549.44x = 151,826.76
  5. Step 5: Solve for x
    x = 151,826.76/549.44
  6. Step 6: Final answer
    x = 276.33

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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.