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Finding the Fourth Proportional to 190.08, 262.24 and 157.28

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Solution

The fourth proportional to 190.08, 262.24 and 157.28 is: 216.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.08 : 262.24 = 157.28 : x
  2. Step 2: Convert to fraction form
    190.08/262.24 = 157.28/x
  3. Step 3: Cross multiply
    190.08x = 262.24 × 157.28
  4. Step 4: Simplify right side
    190.08x = 41,243.40
  5. Step 5: Solve for x
    x = 41,243.40/190.08
  6. Step 6: Final answer
    x = 216.98

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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.