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Finding the Fourth Proportional to 273.52, 377.30 and 161.52

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Solution

The fourth proportional to 273.52, 377.30 and 161.52 is: 222.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.52 : 377.30 = 161.52 : x
  2. Step 2: Convert to fraction form
    273.52/377.30 = 161.52/x
  3. Step 3: Cross multiply
    273.52x = 377.30 × 161.52
  4. Step 4: Simplify right side
    273.52x = 60,941.50
  5. Step 5: Solve for x
    x = 60,941.50/273.52
  6. Step 6: Final answer
    x = 222.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.