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Finding the Fourth Proportional to 273.42, 377.28 and 162.90

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Solution

The fourth proportional to 273.42, 377.28 and 162.90 is: 224.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.42 : 377.28 = 162.90 : x
  2. Step 2: Convert to fraction form
    273.42/377.28 = 162.90/x
  3. Step 3: Cross multiply
    273.42x = 377.28 × 162.90
  4. Step 4: Simplify right side
    273.42x = 61,458.91
  5. Step 5: Solve for x
    x = 61,458.91/273.42
  6. Step 6: Final answer
    x = 224.78

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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.