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Finding the Fourth Proportional to 190.57, 262.69 and 159.59

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Solution

The fourth proportional to 190.57, 262.69 and 159.59 is: 219.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.57 : 262.69 = 159.59 : x
  2. Step 2: Convert to fraction form
    190.57/262.69 = 159.59/x
  3. Step 3: Cross multiply
    190.57x = 262.69 × 159.59
  4. Step 4: Simplify right side
    190.57x = 41,920.98
  5. Step 5: Solve for x
    x = 41,920.98/190.57
  6. Step 6: Final answer
    x = 219.98

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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.