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Finding the Fourth Proportional to 549.16, 823.86 and 164.44

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Solution

The fourth proportional to 549.16, 823.86 and 164.44 is: 246.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.16 : 823.86 = 164.44 : x
  2. Step 2: Convert to fraction form
    549.16/823.86 = 164.44/x
  3. Step 3: Cross multiply
    549.16x = 823.86 × 164.44
  4. Step 4: Simplify right side
    549.16x = 135,475.54
  5. Step 5: Solve for x
    x = 135,475.54/549.16
  6. Step 6: Final answer
    x = 246.70

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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.