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Finding the Fourth Proportional to 549.18, 823.81 and 164.42

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Solution

The fourth proportional to 549.18, 823.81 and 164.42 is: 246.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.18 : 823.81 = 164.42 : x
  2. Step 2: Convert to fraction form
    549.18/823.81 = 164.42/x
  3. Step 3: Cross multiply
    549.18x = 823.81 × 164.42
  4. Step 4: Simplify right side
    549.18x = 135,450.84
  5. Step 5: Solve for x
    x = 135,450.84/549.18
  6. Step 6: Final answer
    x = 246.64

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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.