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Finding the Fourth Proportional to 194.69, 267.03 and 184.24

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Solution

The fourth proportional to 194.69, 267.03 and 184.24 is: 252.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.69 : 267.03 = 184.24 : x
  2. Step 2: Convert to fraction form
    194.69/267.03 = 184.24/x
  3. Step 3: Cross multiply
    194.69x = 267.03 × 184.24
  4. Step 4: Simplify right side
    194.69x = 49,197.61
  5. Step 5: Solve for x
    x = 49,197.61/194.69
  6. Step 6: Final answer
    x = 252.70

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.