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Finding the Fourth Proportional to 190.23, 283.98 and 164.31

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Solution

The fourth proportional to 190.23, 283.98 and 164.31 is: 245.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.23 : 283.98 = 164.31 : x
  2. Step 2: Convert to fraction form
    190.23/283.98 = 164.31/x
  3. Step 3: Cross multiply
    190.23x = 283.98 × 164.31
  4. Step 4: Simplify right side
    190.23x = 46,660.75
  5. Step 5: Solve for x
    x = 46,660.75/190.23
  6. Step 6: Final answer
    x = 245.29

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.