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Finding the Fourth Proportional to 190, 283.73 and 159.31

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Solution

The fourth proportional to 190, 283.73 and 159.31 is: 237.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    190 : 283.73 = 159.31 : x
  2. Step 2: Convert to fraction form
    190/283.73 = 159.31/x
  3. Step 3: Cross multiply
    190x = 283.73 × 159.31
  4. Step 4: Simplify right side
    190x = 45,201.03
  5. Step 5: Solve for x
    x = 45,201.03/190
  6. Step 6: Final answer
    x = 237.90

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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.