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Finding the Fourth Proportional to 273.42, 377.64 and 224.55

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Solution

The fourth proportional to 273.42, 377.64 and 224.55 is: 310.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.42 : 377.64 = 224.55 : x
  2. Step 2: Convert to fraction form
    273.42/377.64 = 224.55/x
  3. Step 3: Cross multiply
    273.42x = 377.64 × 224.55
  4. Step 4: Simplify right side
    273.42x = 84,799.06
  5. Step 5: Solve for x
    x = 84,799.06/273.42
  6. Step 6: Final answer
    x = 310.14

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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.