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Finding the Fourth Proportional to 190.68, 261.63 and 185.88

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Solution

The fourth proportional to 190.68, 261.63 and 185.88 is: 255.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.68 : 261.63 = 185.88 : x
  2. Step 2: Convert to fraction form
    190.68/261.63 = 185.88/x
  3. Step 3: Cross multiply
    190.68x = 261.63 × 185.88
  4. Step 4: Simplify right side
    190.68x = 48,631.78
  5. Step 5: Solve for x
    x = 48,631.78/190.68
  6. Step 6: Final answer
    x = 255.04

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.