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Finding the Fourth Proportional to 190.81, 286.23 and 145.27

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Solution

The fourth proportional to 190.81, 286.23 and 145.27 is: 217.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.81 : 286.23 = 145.27 : x
  2. Step 2: Convert to fraction form
    190.81/286.23 = 145.27/x
  3. Step 3: Cross multiply
    190.81x = 286.23 × 145.27
  4. Step 4: Simplify right side
    190.81x = 41,580.63
  5. Step 5: Solve for x
    x = 41,580.63/190.81
  6. Step 6: Final answer
    x = 217.92

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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.