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Finding the Fourth Proportional to 194.92, 292.44 and 144.22

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Solution

The fourth proportional to 194.92, 292.44 and 144.22 is: 216.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.92 : 292.44 = 144.22 : x
  2. Step 2: Convert to fraction form
    194.92/292.44 = 144.22/x
  3. Step 3: Cross multiply
    194.92x = 292.44 × 144.22
  4. Step 4: Simplify right side
    194.92x = 42,175.70
  5. Step 5: Solve for x
    x = 42,175.70/194.92
  6. Step 6: Final answer
    x = 216.37

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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.