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Finding the Fourth Proportional to 267.79, 401.62 and 75.43

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Solution

The fourth proportional to 267.79, 401.62 and 75.43 is: 113.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.79 : 401.62 = 75.43 : x
  2. Step 2: Convert to fraction form
    267.79/401.62 = 75.43/x
  3. Step 3: Cross multiply
    267.79x = 401.62 × 75.43
  4. Step 4: Simplify right side
    267.79x = 30,292.00
  5. Step 5: Solve for x
    x = 30,292.00/267.79
  6. Step 6: Final answer
    x = 113.12

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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.