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Finding the Fourth Proportional to 267.72, 401.61 and 113.64

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Solution

The fourth proportional to 267.72, 401.61 and 113.64 is: 170.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.72 : 401.61 = 113.64 : x
  2. Step 2: Convert to fraction form
    267.72/401.61 = 113.64/x
  3. Step 3: Cross multiply
    267.72x = 401.61 × 113.64
  4. Step 4: Simplify right side
    267.72x = 45,638.96
  5. Step 5: Solve for x
    x = 45,638.96/267.72
  6. Step 6: Final answer
    x = 170.47

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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.