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Finding the Fourth Proportional to 190.36, 285.23 and 159.98

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Solution

The fourth proportional to 190.36, 285.23 and 159.98 is: 239.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.36 : 285.23 = 159.98 : x
  2. Step 2: Convert to fraction form
    190.36/285.23 = 159.98/x
  3. Step 3: Cross multiply
    190.36x = 285.23 × 159.98
  4. Step 4: Simplify right side
    190.36x = 45,631.10
  5. Step 5: Solve for x
    x = 45,631.10/190.36
  6. Step 6: Final answer
    x = 239.71

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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.