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Finding the Fourth Proportional to 366.79, 549.99 and 161.12

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Solution

The fourth proportional to 366.79, 549.99 and 161.12 is: 241.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.79 : 549.99 = 161.12 : x
  2. Step 2: Convert to fraction form
    366.79/549.99 = 161.12/x
  3. Step 3: Cross multiply
    366.79x = 549.99 × 161.12
  4. Step 4: Simplify right side
    366.79x = 88,614.39
  5. Step 5: Solve for x
    x = 88,614.39/366.79
  6. Step 6: Final answer
    x = 241.59

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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.