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Finding the Fourth Proportional to 190.39, 285.10 and 159.88

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Solution

The fourth proportional to 190.39, 285.10 and 159.88 is: 239.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.39 : 285.10 = 159.88 : x
  2. Step 2: Convert to fraction form
    190.39/285.10 = 159.88/x
  3. Step 3: Cross multiply
    190.39x = 285.10 × 159.88
  4. Step 4: Simplify right side
    190.39x = 45,581.79
  5. Step 5: Solve for x
    x = 45,581.79/190.39
  6. Step 6: Final answer
    x = 239.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.