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Finding the Fourth Proportional to 366.83, 550.22 and 161.40

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Solution

The fourth proportional to 366.83, 550.22 and 161.40 is: 242.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.83 : 550.22 = 161.40 : x
  2. Step 2: Convert to fraction form
    366.83/550.22 = 161.40/x
  3. Step 3: Cross multiply
    366.83x = 550.22 × 161.40
  4. Step 4: Simplify right side
    366.83x = 88,803.67
  5. Step 5: Solve for x
    x = 88,803.67/366.83
  6. Step 6: Final answer
    x = 242.08

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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.