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Finding the Fourth Proportional to 267.05, 400.24 and 189.59

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Solution

The fourth proportional to 267.05, 400.24 and 189.59 is: 284.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.05 : 400.24 = 189.59 : x
  2. Step 2: Convert to fraction form
    267.05/400.24 = 189.59/x
  3. Step 3: Cross multiply
    267.05x = 400.24 × 189.59
  4. Step 4: Simplify right side
    267.05x = 75,881.99
  5. Step 5: Solve for x
    x = 75,881.99/267.05
  6. Step 6: Final answer
    x = 284.15

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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.