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Finding the Fourth Proportional to 267.45, 369.01 and 169.24

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Solution

The fourth proportional to 267.45, 369.01 and 169.24 is: 233.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.45 : 369.01 = 169.24 : x
  2. Step 2: Convert to fraction form
    267.45/369.01 = 169.24/x
  3. Step 3: Cross multiply
    267.45x = 369.01 × 169.24
  4. Step 4: Simplify right side
    267.45x = 62,451.25
  5. Step 5: Solve for x
    x = 62,451.25/267.45
  6. Step 6: Final answer
    x = 233.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.