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Finding the Fourth Proportional to 153.92, 232.12 and 144.96

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Solution

The fourth proportional to 153.92, 232.12 and 144.96 is: 218.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.92 : 232.12 = 144.96 : x
  2. Step 2: Convert to fraction form
    153.92/232.12 = 144.96/x
  3. Step 3: Cross multiply
    153.92x = 232.12 × 144.96
  4. Step 4: Simplify right side
    153.92x = 33,648.12
  5. Step 5: Solve for x
    x = 33,648.12/153.92
  6. Step 6: Final answer
    x = 218.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.