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Finding the Fourth Proportional to 190.74, 262.98 and 157.98

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Solution

The fourth proportional to 190.74, 262.98 and 157.98 is: 217.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.74 : 262.98 = 157.98 : x
  2. Step 2: Convert to fraction form
    190.74/262.98 = 157.98/x
  3. Step 3: Cross multiply
    190.74x = 262.98 × 157.98
  4. Step 4: Simplify right side
    190.74x = 41,545.58
  5. Step 5: Solve for x
    x = 41,545.58/190.74
  6. Step 6: Final answer
    x = 217.81

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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.