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Finding the Fourth Proportional to 267.45, 401 and 104.94

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Solution

The fourth proportional to 267.45, 401 and 104.94 is: 157.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.45 : 401 = 104.94 : x
  2. Step 2: Convert to fraction form
    267.45/401 = 104.94/x
  3. Step 3: Cross multiply
    267.45x = 401 × 104.94
  4. Step 4: Simplify right side
    267.45x = 42,080.94
  5. Step 5: Solve for x
    x = 42,080.94/267.45
  6. Step 6: Final answer
    x = 157.34

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