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Finding the Fourth Proportional to 190.51, 285.22 and 159.73

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Solution

The fourth proportional to 190.51, 285.22 and 159.73 is: 239.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.51 : 285.22 = 159.73 : x
  2. Step 2: Convert to fraction form
    190.51/285.22 = 159.73/x
  3. Step 3: Cross multiply
    190.51x = 285.22 × 159.73
  4. Step 4: Simplify right side
    190.51x = 45,558.19
  5. Step 5: Solve for x
    x = 45,558.19/190.51
  6. Step 6: Final answer
    x = 239.14

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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.