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Finding the Fourth Proportional to 267.76, 369.26 and 226.40

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Solution

The fourth proportional to 267.76, 369.26 and 226.40 is: 312.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.76 : 369.26 = 226.40 : x
  2. Step 2: Convert to fraction form
    267.76/369.26 = 226.40/x
  3. Step 3: Cross multiply
    267.76x = 369.26 × 226.40
  4. Step 4: Simplify right side
    267.76x = 83,598.33
  5. Step 5: Solve for x
    x = 83,598.33/267.76
  6. Step 6: Final answer
    x = 312.22

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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.