Home / 190.20-283.40-178.04

Finding the Fourth Proportional to 190.20, 283.40 and 178.04

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Solution

The fourth proportional to 190.20, 283.40 and 178.04 is: 265.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.20 : 283.40 = 178.04 : x
  2. Step 2: Convert to fraction form
    190.20/283.40 = 178.04/x
  3. Step 3: Cross multiply
    190.20x = 283.40 × 178.04
  4. Step 4: Simplify right side
    190.20x = 50,456.54
  5. Step 5: Solve for x
    x = 50,456.54/190.20
  6. Step 6: Final answer
    x = 265.28

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Why These Related Problems?

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