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Finding the Fourth Proportional to 267.40, 401.12 and 180.92

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Solution

The fourth proportional to 267.40, 401.12 and 180.92 is: 271.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.40 : 401.12 = 180.92 : x
  2. Step 2: Convert to fraction form
    267.40/401.12 = 180.92/x
  3. Step 3: Cross multiply
    267.40x = 401.12 × 180.92
  4. Step 4: Simplify right side
    267.40x = 72,570.63
  5. Step 5: Solve for x
    x = 72,570.63/267.40
  6. Step 6: Final answer
    x = 271.39

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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.