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Finding the Fourth Proportional to 194.52, 291.92 and 149

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Solution

The fourth proportional to 194.52, 291.92 and 149 is: 223.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.52 : 291.92 = 149 : x
  2. Step 2: Convert to fraction form
    194.52/291.92 = 149/x
  3. Step 3: Cross multiply
    194.52x = 291.92 × 149
  4. Step 4: Simplify right side
    194.52x = 43,496.08
  5. Step 5: Solve for x
    x = 43,496.08/194.52
  6. Step 6: Final answer
    x = 223.61

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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.