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Finding the Fourth Proportional to 190.98, 263.49 and 117.27

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Solution

The fourth proportional to 190.98, 263.49 and 117.27 is: 161.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.98 : 263.49 = 117.27 : x
  2. Step 2: Convert to fraction form
    190.98/263.49 = 117.27/x
  3. Step 3: Cross multiply
    190.98x = 263.49 × 117.27
  4. Step 4: Simplify right side
    190.98x = 30,899.47
  5. Step 5: Solve for x
    x = 30,899.47/190.98
  6. Step 6: Final answer
    x = 161.79

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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.