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Finding the Fourth Proportional to 190.28, 262.14 and 157.52

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Solution

The fourth proportional to 190.28, 262.14 and 157.52 is: 217.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.28 : 262.14 = 157.52 : x
  2. Step 2: Convert to fraction form
    190.28/262.14 = 157.52/x
  3. Step 3: Cross multiply
    190.28x = 262.14 × 157.52
  4. Step 4: Simplify right side
    190.28x = 41,292.29
  5. Step 5: Solve for x
    x = 41,292.29/190.28
  6. Step 6: Final answer
    x = 217.01

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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.