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Finding the Fourth Proportional to 190.32, 262.66 and 116.68

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Solution

The fourth proportional to 190.32, 262.66 and 116.68 is: 161.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.32 : 262.66 = 116.68 : x
  2. Step 2: Convert to fraction form
    190.32/262.66 = 116.68/x
  3. Step 3: Cross multiply
    190.32x = 262.66 × 116.68
  4. Step 4: Simplify right side
    190.32x = 30,646.22
  5. Step 5: Solve for x
    x = 30,646.22/190.32
  6. Step 6: Final answer
    x = 161.02

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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.