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Finding the Fourth Proportional to 190.82, 286.24 and 158.70

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Solution

The fourth proportional to 190.82, 286.24 and 158.70 is: 238.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.82 : 286.24 = 158.70 : x
  2. Step 2: Convert to fraction form
    190.82/286.24 = 158.70/x
  3. Step 3: Cross multiply
    190.82x = 286.24 × 158.70
  4. Step 4: Simplify right side
    190.82x = 45,426.29
  5. Step 5: Solve for x
    x = 45,426.29/190.82
  6. Step 6: Final answer
    x = 238.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.