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Finding the Fourth Proportional to 190.82, 263.03 and 159.84

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Solution

The fourth proportional to 190.82, 263.03 and 159.84 is: 220.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.82 : 263.03 = 159.84 : x
  2. Step 2: Convert to fraction form
    190.82/263.03 = 159.84/x
  3. Step 3: Cross multiply
    190.82x = 263.03 × 159.84
  4. Step 4: Simplify right side
    190.82x = 42,042.72
  5. Step 5: Solve for x
    x = 42,042.72/190.82
  6. Step 6: Final answer
    x = 220.33

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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.