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Finding the Fourth Proportional to 267.59, 401.18 and 199.41

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Solution

The fourth proportional to 267.59, 401.18 and 199.41 is: 298.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.59 : 401.18 = 199.41 : x
  2. Step 2: Convert to fraction form
    267.59/401.18 = 199.41/x
  3. Step 3: Cross multiply
    267.59x = 401.18 × 199.41
  4. Step 4: Simplify right side
    267.59x = 79,998.31
  5. Step 5: Solve for x
    x = 79,998.31/267.59
  6. Step 6: Final answer
    x = 298.96

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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.