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Finding the Fourth Proportional to 267.87, 401.80 and 94.54

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Solution

The fourth proportional to 267.87, 401.80 and 94.54 is: 141.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.87 : 401.80 = 94.54 : x
  2. Step 2: Convert to fraction form
    267.87/401.80 = 94.54/x
  3. Step 3: Cross multiply
    267.87x = 401.80 × 94.54
  4. Step 4: Simplify right side
    267.87x = 37,986.17
  5. Step 5: Solve for x
    x = 37,986.17/267.87
  6. Step 6: Final answer
    x = 141.81

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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.