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Finding the Fourth Proportional to 267.82, 401.75 and 105.46

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Solution

The fourth proportional to 267.82, 401.75 and 105.46 is: 158.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.82 : 401.75 = 105.46 : x
  2. Step 2: Convert to fraction form
    267.82/401.75 = 105.46/x
  3. Step 3: Cross multiply
    267.82x = 401.75 × 105.46
  4. Step 4: Simplify right side
    267.82x = 42,369.56
  5. Step 5: Solve for x
    x = 42,369.56/267.82
  6. Step 6: Final answer
    x = 158.20

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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.