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Finding the Fourth Proportional to 267.55, 367.06 and 265.44

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Solution

The fourth proportional to 267.55, 367.06 and 265.44 is: 364.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.55 : 367.06 = 265.44 : x
  2. Step 2: Convert to fraction form
    267.55/367.06 = 265.44/x
  3. Step 3: Cross multiply
    267.55x = 367.06 × 265.44
  4. Step 4: Simplify right side
    267.55x = 97,432.41
  5. Step 5: Solve for x
    x = 97,432.41/267.55
  6. Step 6: Final answer
    x = 364.17

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.