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Finding the Fourth Proportional to 267.67, 400.79 and 145.56

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Solution

The fourth proportional to 267.67, 400.79 and 145.56 is: 217.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.67 : 400.79 = 145.56 : x
  2. Step 2: Convert to fraction form
    267.67/400.79 = 145.56/x
  3. Step 3: Cross multiply
    267.67x = 400.79 × 145.56
  4. Step 4: Simplify right side
    267.67x = 58,339.36
  5. Step 5: Solve for x
    x = 58,339.36/267.67
  6. Step 6: Final answer
    x = 217.95

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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.