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Finding the Fourth Proportional to 267.44, 401.00 and 113.33

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Solution

The fourth proportional to 267.44, 401.00 and 113.33 is: 169.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.44 : 401.00 = 113.33 : x
  2. Step 2: Convert to fraction form
    267.44/401.00 = 113.33/x
  3. Step 3: Cross multiply
    267.44x = 401.00 × 113.33
  4. Step 4: Simplify right side
    267.44x = 45,442.76
  5. Step 5: Solve for x
    x = 45,442.76/267.44
  6. Step 6: Final answer
    x = 169.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.