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Finding the Fourth Proportional to 267.32, 367.22 and 218.04

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Solution

The fourth proportional to 267.32, 367.22 and 218.04 is: 299.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.32 : 367.22 = 218.04 : x
  2. Step 2: Convert to fraction form
    267.32/367.22 = 218.04/x
  3. Step 3: Cross multiply
    267.32x = 367.22 × 218.04
  4. Step 4: Simplify right side
    267.32x = 80,068.65
  5. Step 5: Solve for x
    x = 80,068.65/267.32
  6. Step 6: Final answer
    x = 299.52

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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.