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Finding the Fourth Proportional to 144.96, 200.24 and 120.48

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Solution

The fourth proportional to 144.96, 200.24 and 120.48 is: 166.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.96 : 200.24 = 120.48 : x
  2. Step 2: Convert to fraction form
    144.96/200.24 = 120.48/x
  3. Step 3: Cross multiply
    144.96x = 200.24 × 120.48
  4. Step 4: Simplify right side
    144.96x = 24,124.92
  5. Step 5: Solve for x
    x = 24,124.92/144.96
  6. Step 6: Final answer
    x = 166.42

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Why These Related Problems?

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