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Finding the Fourth Proportional to 190.90, 286.23 and 99.63

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Solution

The fourth proportional to 190.90, 286.23 and 99.63 is: 149.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.90 : 286.23 = 99.63 : x
  2. Step 2: Convert to fraction form
    190.90/286.23 = 99.63/x
  3. Step 3: Cross multiply
    190.90x = 286.23 × 99.63
  4. Step 4: Simplify right side
    190.90x = 28,517.09
  5. Step 5: Solve for x
    x = 28,517.09/190.90
  6. Step 6: Final answer
    x = 149.38

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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.