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Finding the Fourth Proportional to 273.24, 377.46 and 214.38

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Solution

The fourth proportional to 273.24, 377.46 and 214.38 is: 296.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.24 : 377.46 = 214.38 : x
  2. Step 2: Convert to fraction form
    273.24/377.46 = 214.38/x
  3. Step 3: Cross multiply
    273.24x = 377.46 × 214.38
  4. Step 4: Simplify right side
    273.24x = 80,919.87
  5. Step 5: Solve for x
    x = 80,919.87/273.24
  6. Step 6: Final answer
    x = 296.15

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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.