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Finding the Fourth Proportional to 267.99, 401.37 and 194.63

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Solution

The fourth proportional to 267.99, 401.37 and 194.63 is: 291.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.99 : 401.37 = 194.63 : x
  2. Step 2: Convert to fraction form
    267.99/401.37 = 194.63/x
  3. Step 3: Cross multiply
    267.99x = 401.37 × 194.63
  4. Step 4: Simplify right side
    267.99x = 78,116.64
  5. Step 5: Solve for x
    x = 78,116.64/267.99
  6. Step 6: Final answer
    x = 291.49

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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.