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Finding the Fourth Proportional to 366.44, 549.94 and 174.12

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Solution

The fourth proportional to 366.44, 549.94 and 174.12 is: 261.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.44 : 549.94 = 174.12 : x
  2. Step 2: Convert to fraction form
    366.44/549.94 = 174.12/x
  3. Step 3: Cross multiply
    366.44x = 549.94 × 174.12
  4. Step 4: Simplify right side
    366.44x = 95,755.55
  5. Step 5: Solve for x
    x = 95,755.55/366.44
  6. Step 6: Final answer
    x = 261.31

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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.