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Finding the Fourth Proportional to 549.14, 823.71 and 164.38

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Solution

The fourth proportional to 549.14, 823.71 and 164.38 is: 246.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.14 : 823.71 = 164.38 : x
  2. Step 2: Convert to fraction form
    549.14/823.71 = 164.38/x
  3. Step 3: Cross multiply
    549.14x = 823.71 × 164.38
  4. Step 4: Simplify right side
    549.14x = 135,401.45
  5. Step 5: Solve for x
    x = 135,401.45/549.14
  6. Step 6: Final answer
    x = 246.57

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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.