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Finding the Fourth Proportional to 549.46, 824.01 and 184.15

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Solution

The fourth proportional to 549.46, 824.01 and 184.15 is: 276.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.46 : 824.01 = 184.15 : x
  2. Step 2: Convert to fraction form
    549.46/824.01 = 184.15/x
  3. Step 3: Cross multiply
    549.46x = 824.01 × 184.15
  4. Step 4: Simplify right side
    549.46x = 151,741.44
  5. Step 5: Solve for x
    x = 151,741.44/549.46
  6. Step 6: Final answer
    x = 276.16

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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.