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Finding the Fourth Proportional to 267.43, 401.15 and 181.75

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Solution

The fourth proportional to 267.43, 401.15 and 181.75 is: 272.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.43 : 401.15 = 181.75 : x
  2. Step 2: Convert to fraction form
    267.43/401.15 = 181.75/x
  3. Step 3: Cross multiply
    267.43x = 401.15 × 181.75
  4. Step 4: Simplify right side
    267.43x = 72,909.01
  5. Step 5: Solve for x
    x = 72,909.01/267.43
  6. Step 6: Final answer
    x = 272.63

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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.