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Finding the Fourth Proportional to 273.13, 376.85 and 161.10

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Solution

The fourth proportional to 273.13, 376.85 and 161.10 is: 222.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.13 : 376.85 = 161.10 : x
  2. Step 2: Convert to fraction form
    273.13/376.85 = 161.10/x
  3. Step 3: Cross multiply
    273.13x = 376.85 × 161.10
  4. Step 4: Simplify right side
    273.13x = 60,711.24
  5. Step 5: Solve for x
    x = 60,711.24/273.13
  6. Step 6: Final answer
    x = 222.28

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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.