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Finding the Fourth Proportional to 267.84, 369.60 and 164.28

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Solution

The fourth proportional to 267.84, 369.60 and 164.28 is: 226.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.84 : 369.60 = 164.28 : x
  2. Step 2: Convert to fraction form
    267.84/369.60 = 164.28/x
  3. Step 3: Cross multiply
    267.84x = 369.60 × 164.28
  4. Step 4: Simplify right side
    267.84x = 60,717.89
  5. Step 5: Solve for x
    x = 60,717.89/267.84
  6. Step 6: Final answer
    x = 226.69

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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.