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Finding the Fourth Proportional to 190.90, 263.37 and 117.19

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Solution

The fourth proportional to 190.90, 263.37 and 117.19 is: 161.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.90 : 263.37 = 117.19 : x
  2. Step 2: Convert to fraction form
    190.90/263.37 = 117.19/x
  3. Step 3: Cross multiply
    190.90x = 263.37 × 117.19
  4. Step 4: Simplify right side
    190.90x = 30,864.33
  5. Step 5: Solve for x
    x = 30,864.33/190.90
  6. Step 6: Final answer
    x = 161.68

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